What is the Greatest Common Factor of 91971 and 91980?

Greatest common factor (GCF) of 91971 and 91980 is 9.

GCF(91971,91980) = 9

We will now calculate the prime factors of 91971 and 91980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91971 and 91980.

How to find the GCF of 91971 and 91980?

We will first find the prime factorization of 91971 and 91980. After we will calculate the factors of 91971 and 91980 and find the biggest common factor number .

Step-1: Prime Factorization of 91971

Prime factors of 91971 are 3, 11, 929. Prime factorization of 91971 in exponential form is:

91971 = 3² × 11¹ × 929¹

Step-2: 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-3: Factors of 91971

List of positive integer factors of 91971 that divides 91971 without a remainder.

1, 3, 9, 11, 33, 99, 929, 2787, 8361, 10219, 30657

Step-4: Factors of 91980

List of positive integer factors of 91980 that divides 91971 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91971 and 91980. The biggest common factor number is the GCF number.
So the greatest common factor 91971 and 91980 is 9.

Also check out the Least Common Multiple of 91971 and 91980