What is the Greatest Common Factor of 97964 and 97972?

Greatest common factor (GCF) of 97964 and 97972 is 4.

GCF(97964,97972) = 4

We will now calculate the prime factors of 97964 and 97972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97964 and 97972.

How to find the GCF of 97964 and 97972?

We will first find the prime factorization of 97964 and 97972. After we will calculate the factors of 97964 and 97972 and find the biggest common factor number .

Step-1: Prime Factorization of 97964

Prime factors of 97964 are 2, 19, 1289. Prime factorization of 97964 in exponential form is:

97964 = 2² × 19¹ × 1289¹

Step-2: Prime Factorization of 97972

Prime factors of 97972 are 2, 7, 3499. Prime factorization of 97972 in exponential form is:

97972 = 2² × 7¹ × 3499¹

Step-3: Factors of 97964

List of positive integer factors of 97964 that divides 97964 without a remainder.

1, 2, 4, 19, 38, 76, 1289, 2578, 5156, 24491, 48982

Step-4: Factors of 97972

List of positive integer factors of 97972 that divides 97964 without a remainder.

1, 2, 4, 7, 14, 28, 3499, 6998, 13996, 24493, 48986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97964 and 97972. The biggest common factor number is the GCF number.
So the greatest common factor 97964 and 97972 is 4.

Also check out the Least Common Multiple of 97964 and 97972