What is the Greatest Common Factor of 91965 and 91980?

Greatest common factor (GCF) of 91965 and 91980 is 15.

GCF(91965,91980) = 15

We will now calculate the prime factors of 91965 and 91980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91965 and 91980.

How to find the GCF of 91965 and 91980?

We will first find the prime factorization of 91965 and 91980. After we will calculate the factors of 91965 and 91980 and find the biggest common factor number .

Step-1: Prime Factorization of 91965

Prime factors of 91965 are 3, 5, 6131. Prime factorization of 91965 in exponential form is:

91965 = 3¹ × 5¹ × 6131¹

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 91965

List of positive integer factors of 91965 that divides 91965 without a remainder.

1, 3, 5, 15, 6131, 18393, 30655

Step-4: Factors of 91980

List of positive integer factors of 91980 that divides 91965 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 91965 and 91980. The biggest common factor number is the GCF number.
So the greatest common factor 91965 and 91980 is 15.

Also check out the Least Common Multiple of 91965 and 91980