Find the greatest common divisor of the numbers.
105 and 231
The greatest common divisor of 105 and 231 is
(Type a whole number.)

Answer

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Answer

Therefore, the greatest common divisor of 105 and 231 is \(\gcd(105, 231) = 3 \cdot 7 = \boxed{21}\).

Steps

Step 1 ：First, we need to find the prime factorization of both numbers. For 105, we have \(105 = 3^1 \cdot 5^1 \cdot 7^1\). For 231, we have \(231 = 3^1 \cdot 7^1 \cdot 11^1\).

Step 2 ：The greatest common divisor is the product of the lowest powers of common prime factors. So, \(\gcd(105, 231) = 3^1 \cdot 7^1\).

Step 3 ：Therefore, the greatest common divisor of 105 and 231 is \(\gcd(105, 231) = 3 \cdot 7 = \boxed{21}\).

Find the greatest common divisor of the numbers.105 and 231The greatest common divisor of 105 and 231 is(Type a whole number.)

Answer

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Find the greatest common divisor of the numbers.
105 and 231
The greatest common divisor of 105 and 231 is
(Type a whole number.)