What is the Greatest Common Factor of 91980 and 91992?

Greatest common factor (GCF) of 91980 and 91992 is 12.

GCF(91980,91992) = 12

We will now calculate the prime factors of 91980 and 91992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91980 and 91992.

How to find the GCF of 91980 and 91992?

We will first find the prime factorization of 91980 and 91992. After we will calculate the factors of 91980 and 91992 and find the biggest common factor number .

Step-1: Prime Factorization of 91980

Prime factors of 91980 are 2, 3, 5, 7, 73. Prime factorization of 91980 in exponential form is:

91980 = 2² × 3² × 5¹ × 7¹ × 73¹

Step-2: Prime Factorization of 91992

Prime factors of 91992 are 2, 3, 3833. Prime factorization of 91992 in exponential form is:

91992 = 2³ × 3¹ × 3833¹

Step-3: Factors of 91980

List of positive integer factors of 91980 that divides 91980 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 73, 84, 90, 105, 126, 140, 146, 180, 210, 219, 252, 292, 315, 365, 420, 438, 511, 630, 657, 730, 876, 1022, 1095, 1260, 1314, 1460, 1533, 2044, 2190, 2555, 2628, 3066, 3285, 4380, 4599, 5110, 6132, 6570, 7665, 9198, 10220, 13140, 15330, 18396, 22995, 30660, 45990

Step-4: Factors of 91992

List of positive integer factors of 91992 that divides 91980 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3833, 7666, 11499, 15332, 22998, 30664, 45996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91980 and 91992. The biggest common factor number is the GCF number.
So the greatest common factor 91980 and 91992 is 12.

Also check out the Least Common Multiple of 91980 and 91992