What is the Greatest Common Factor of 97654 and 97660?

Greatest common factor (GCF) of 97654 and 97660 is 2.

GCF(97654,97660) = 2

We will now calculate the prime factors of 97654 and 97660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97654 and 97660.

How to find the GCF of 97654 and 97660?

We will first find the prime factorization of 97654 and 97660. After we will calculate the factors of 97654 and 97660 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97660

Prime factors of 97660 are 2, 5, 19, 257. Prime factorization of 97660 in exponential form is:

97660 = 2² × 5¹ × 19¹ × 257¹

Step-3: Factors of 97654

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

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

Step-4: Factors of 97660

List of positive integer factors of 97660 that divides 97654 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 257, 380, 514, 1028, 1285, 2570, 4883, 5140, 9766, 19532, 24415, 48830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97654 and 97660. The biggest common factor number is the GCF number.
So the greatest common factor 97654 and 97660 is 2.

Also check out the Least Common Multiple of 97654 and 97660