What is the Greatest Common Factor of 91980 and 91988?

Greatest common factor (GCF) of 91980 and 91988 is 4.

GCF(91980,91988) = 4

We will now calculate the prime factors of 91980 and 91988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91980 and 91988.

How to find the GCF of 91980 and 91988?

We will first find the prime factorization of 91980 and 91988. After we will calculate the factors of 91980 and 91988 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 91988

Prime factors of 91988 are 2, 13, 29, 61. Prime factorization of 91988 in exponential form is:

91988 = 2² × 13¹ × 29¹ × 61¹

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 91988

List of positive integer factors of 91988 that divides 91980 without a remainder.

1, 2, 4, 13, 26, 29, 52, 58, 61, 116, 122, 244, 377, 754, 793, 1508, 1586, 1769, 3172, 3538, 7076, 22997, 45994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91980 and 91988. The biggest common factor number is the GCF number.
So the greatest common factor 91980 and 91988 is 4.

Also check out the Least Common Multiple of 91980 and 91988