What is the Greatest Common Factor of 61656 and 61670?

Greatest common factor (GCF) of 61656 and 61670 is 14.

GCF(61656,61670) = 14

We will now calculate the prime factors of 61656 and 61670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61656 and 61670.

How to find the GCF of 61656 and 61670?

We will first find the prime factorization of 61656 and 61670. After we will calculate the factors of 61656 and 61670 and find the biggest common factor number .

Step-1: Prime Factorization of 61656

Prime factors of 61656 are 2, 3, 7, 367. Prime factorization of 61656 in exponential form is:

61656 = 2³ × 3¹ × 7¹ × 367¹

Step-2: Prime Factorization of 61670

Prime factors of 61670 are 2, 5, 7, 881. Prime factorization of 61670 in exponential form is:

61670 = 2¹ × 5¹ × 7¹ × 881¹

Step-3: Factors of 61656

List of positive integer factors of 61656 that divides 61656 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 367, 734, 1101, 1468, 2202, 2569, 2936, 4404, 5138, 7707, 8808, 10276, 15414, 20552, 30828

Step-4: Factors of 61670

List of positive integer factors of 61670 that divides 61656 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 881, 1762, 4405, 6167, 8810, 12334, 30835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61656 and 61670. The biggest common factor number is the GCF number.
So the greatest common factor 61656 and 61670 is 14.

Also check out the Least Common Multiple of 61656 and 61670