What is the Greatest Common Factor of 97964 and 97980?

Greatest common factor (GCF) of 97964 and 97980 is 4.

GCF(97964,97980) = 4

We will now calculate the prime factors of 97964 and 97980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97964 and 97980.

How to find the GCF of 97964 and 97980?

We will first find the prime factorization of 97964 and 97980. After we will calculate the factors of 97964 and 97980 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 97980

Prime factors of 97980 are 2, 3, 5, 23, 71. Prime factorization of 97980 in exponential form is:

97980 = 2² × 3¹ × 5¹ × 23¹ × 71¹

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 97980

List of positive integer factors of 97980 that divides 97964 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 71, 92, 115, 138, 142, 213, 230, 276, 284, 345, 355, 426, 460, 690, 710, 852, 1065, 1380, 1420, 1633, 2130, 3266, 4260, 4899, 6532, 8165, 9798, 16330, 19596, 24495, 32660, 48990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97964 and 97980. The biggest common factor number is the GCF number.
So the greatest common factor 97964 and 97980 is 4.

Also check out the Least Common Multiple of 97964 and 97980