What is the Greatest Common Factor of 97646 and 97654?

Greatest common factor (GCF) of 97646 and 97654 is 2.

GCF(97646,97654) = 2

We will now calculate the prime factors of 97646 and 97654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97646 and 97654.

How to find the GCF of 97646 and 97654?

We will first find the prime factorization of 97646 and 97654. After we will calculate the factors of 97646 and 97654 and find the biggest common factor number .

Step-1: Prime Factorization of 97646

Prime factors of 97646 are 2, 48823. Prime factorization of 97646 in exponential form is:

97646 = 2¹ × 48823¹

Step-2: Prime Factorization of 97654

Prime factors of 97654 are 2, 157, 311. Prime factorization of 97654 in exponential form is:

97654 = 2¹ × 157¹ × 311¹

Step-3: Factors of 97646

List of positive integer factors of 97646 that divides 97646 without a remainder.

1, 2, 48823

Step-4: Factors of 97654

List of positive integer factors of 97654 that divides 97646 without a remainder.

1, 2, 157, 311, 314, 622, 48827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97646 and 97654. The biggest common factor number is the GCF number.
So the greatest common factor 97646 and 97654 is 2.

Also check out the Least Common Multiple of 97646 and 97654