What is the Greatest Common Factor of 74976 and 74989?

Greatest common factor (GCF) of 74976 and 74989 is 1.

GCF(74976,74989) = 1

We will now calculate the prime factors of 74976 and 74989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74976 and 74989.

How to find the GCF of 74976 and 74989?

We will first find the prime factorization of 74976 and 74989. After we will calculate the factors of 74976 and 74989 and find the biggest common factor number .

Step-1: Prime Factorization of 74976

Prime factors of 74976 are 2, 3, 11, 71. Prime factorization of 74976 in exponential form is:

74976 = 2⁵ × 3¹ × 11¹ × 71¹

Step-2: Prime Factorization of 74989

Prime factors of 74989 are 31, 41, 59. Prime factorization of 74989 in exponential form is:

74989 = 31¹ × 41¹ × 59¹

Step-3: Factors of 74976

List of positive integer factors of 74976 that divides 74976 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 71, 88, 96, 132, 142, 176, 213, 264, 284, 352, 426, 528, 568, 781, 852, 1056, 1136, 1562, 1704, 2272, 2343, 3124, 3408, 4686, 6248, 6816, 9372, 12496, 18744, 24992, 37488

Step-4: Factors of 74989

List of positive integer factors of 74989 that divides 74976 without a remainder.

1, 31, 41, 59, 1271, 1829, 2419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74976 and 74989. The biggest common factor number is the GCF number.
So the greatest common factor 74976 and 74989 is 1.

Also check out the Least Common Multiple of 74976 and 74989