What is the Greatest Common Factor of 91980 and 91987?

Greatest common factor (GCF) of 91980 and 91987 is 7.

GCF(91980,91987) = 7

We will now calculate the prime factors of 91980 and 91987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91980 and 91987.

How to find the GCF of 91980 and 91987?

We will first find the prime factorization of 91980 and 91987. After we will calculate the factors of 91980 and 91987 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 91987

Prime factors of 91987 are 7, 17, 773. Prime factorization of 91987 in exponential form is:

91987 = 7¹ × 17¹ × 773¹

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 91987

List of positive integer factors of 91987 that divides 91980 without a remainder.

1, 7, 17, 119, 773, 5411, 13141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91980 and 91987. The biggest common factor number is the GCF number.
So the greatest common factor 91980 and 91987 is 7.

Also check out the Least Common Multiple of 91980 and 91987