What is the Greatest Common Factor of 97354 and 97372?

Greatest common factor (GCF) of 97354 and 97372 is 2.

GCF(97354,97372) = 2

We will now calculate the prime factors of 97354 and 97372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97354 and 97372.

How to find the GCF of 97354 and 97372?

We will first find the prime factorization of 97354 and 97372. After we will calculate the factors of 97354 and 97372 and find the biggest common factor number .

Step-1: Prime Factorization of 97354

Prime factors of 97354 are 2, 48677. Prime factorization of 97354 in exponential form is:

97354 = 2¹ × 48677¹

Step-2: Prime Factorization of 97372

Prime factors of 97372 are 2, 11, 2213. Prime factorization of 97372 in exponential form is:

97372 = 2² × 11¹ × 2213¹

Step-3: Factors of 97354

List of positive integer factors of 97354 that divides 97354 without a remainder.

1, 2, 48677

Step-4: Factors of 97372

List of positive integer factors of 97372 that divides 97354 without a remainder.

1, 2, 4, 11, 22, 44, 2213, 4426, 8852, 24343, 48686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97354 and 97372. The biggest common factor number is the GCF number.
So the greatest common factor 97354 and 97372 is 2.

Also check out the Least Common Multiple of 97354 and 97372