What is the Greatest Common Factor of 97456 and 97460?

Greatest common factor (GCF) of 97456 and 97460 is 4.

GCF(97456,97460) = 4

We will now calculate the prime factors of 97456 and 97460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97456 and 97460.

How to find the GCF of 97456 and 97460?

We will first find the prime factorization of 97456 and 97460. After we will calculate the factors of 97456 and 97460 and find the biggest common factor number .

Step-1: Prime Factorization of 97456

Prime factors of 97456 are 2, 6091. Prime factorization of 97456 in exponential form is:

97456 = 2⁴ × 6091¹

Step-2: Prime Factorization of 97460

Prime factors of 97460 are 2, 5, 11, 443. Prime factorization of 97460 in exponential form is:

97460 = 2² × 5¹ × 11¹ × 443¹

Step-3: Factors of 97456

List of positive integer factors of 97456 that divides 97456 without a remainder.

1, 2, 4, 8, 16, 6091, 12182, 24364, 48728

Step-4: Factors of 97460

List of positive integer factors of 97460 that divides 97456 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 443, 886, 1772, 2215, 4430, 4873, 8860, 9746, 19492, 24365, 48730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97456 and 97460. The biggest common factor number is the GCF number.
So the greatest common factor 97456 and 97460 is 4.

Also check out the Least Common Multiple of 97456 and 97460