What is the Greatest Common Factor of 97354 and 97374?

Greatest common factor (GCF) of 97354 and 97374 is 2.

GCF(97354,97374) = 2

We will now calculate the prime factors of 97354 and 97374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97354 and 97374.

How to find the GCF of 97354 and 97374?

We will first find the prime factorization of 97354 and 97374. After we will calculate the factors of 97354 and 97374 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 97374

Prime factors of 97374 are 2, 3, 16229. Prime factorization of 97374 in exponential form is:

97374 = 2¹ × 3¹ × 16229¹

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 97374

List of positive integer factors of 97374 that divides 97354 without a remainder.

1, 2, 3, 6, 16229, 32458, 48687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97354 and 97374. The biggest common factor number is the GCF number.
So the greatest common factor 97354 and 97374 is 2.

Also check out the Least Common Multiple of 97354 and 97374