What is the Greatest Common Factor of 97980 and 97992?

Greatest common factor (GCF) of 97980 and 97992 is 12.

GCF(97980,97992) = 12

We will now calculate the prime factors of 97980 and 97992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97980 and 97992.

How to find the GCF of 97980 and 97992?

We will first find the prime factorization of 97980 and 97992. After we will calculate the factors of 97980 and 97992 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97992

Prime factors of 97992 are 2, 3, 1361. Prime factorization of 97992 in exponential form is:

97992 = 2³ × 3² × 1361¹

Step-3: Factors of 97980

List of positive integer factors of 97980 that divides 97980 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

Step-4: Factors of 97992

List of positive integer factors of 97992 that divides 97980 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1361, 2722, 4083, 5444, 8166, 10888, 12249, 16332, 24498, 32664, 48996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97980 and 97992. The biggest common factor number is the GCF number.
So the greatest common factor 97980 and 97992 is 12.

Also check out the Least Common Multiple of 97980 and 97992