What is the Greatest Common Factor of 91980 and 91984?

Greatest common factor (GCF) of 91980 and 91984 is 4.

GCF(91980,91984) = 4

We will now calculate the prime factors of 91980 and 91984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91980 and 91984.

How to find the GCF of 91980 and 91984?

We will first find the prime factorization of 91980 and 91984. After we will calculate the factors of 91980 and 91984 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 91984

Prime factors of 91984 are 2, 5749. Prime factorization of 91984 in exponential form is:

91984 = 2⁴ × 5749¹

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 91984

List of positive integer factors of 91984 that divides 91980 without a remainder.

1, 2, 4, 8, 16, 5749, 11498, 22996, 45992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91980 and 91984. The biggest common factor number is the GCF number.
So the greatest common factor 91980 and 91984 is 4.

Also check out the Least Common Multiple of 91980 and 91984