What is the Greatest Common Factor of 91980 and 91994?

Greatest common factor (GCF) of 91980 and 91994 is 14.

GCF(91980,91994) = 14

We will now calculate the prime factors of 91980 and 91994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91980 and 91994.

How to find the GCF of 91980 and 91994?

We will first find the prime factorization of 91980 and 91994. After we will calculate the factors of 91980 and 91994 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 91994

Prime factors of 91994 are 2, 7, 6571. Prime factorization of 91994 in exponential form is:

91994 = 2¹ × 7¹ × 6571¹

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 91994

List of positive integer factors of 91994 that divides 91980 without a remainder.

1, 2, 7, 14, 6571, 13142, 45997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91980 and 91994. The biggest common factor number is the GCF number.
So the greatest common factor 91980 and 91994 is 14.

Also check out the Least Common Multiple of 91980 and 91994