What is the Greatest Common Factor of 61654 and 61670?

Greatest common factor (GCF) of 61654 and 61670 is 2.

GCF(61654,61670) = 2

We will now calculate the prime factors of 61654 and 61670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61654 and 61670.

How to find the GCF of 61654 and 61670?

We will first find the prime factorization of 61654 and 61670. After we will calculate the factors of 61654 and 61670 and find the biggest common factor number .

Step-1: Prime Factorization of 61654

Prime factors of 61654 are 2, 29, 1063. Prime factorization of 61654 in exponential form is:

61654 = 2¹ × 29¹ × 1063¹

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 61654

List of positive integer factors of 61654 that divides 61654 without a remainder.

1, 2, 29, 58, 1063, 2126, 30827

Step-4: Factors of 61670

List of positive integer factors of 61670 that divides 61654 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 61654 and 61670. The biggest common factor number is the GCF number.
So the greatest common factor 61654 and 61670 is 2.

Also check out the Least Common Multiple of 61654 and 61670