What is the Greatest Common Factor of 74976 and 74987?

Greatest common factor (GCF) of 74976 and 74987 is 11.

GCF(74976,74987) = 11

We will now calculate the prime factors of 74976 and 74987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74976 and 74987.

How to find the GCF of 74976 and 74987?

We will first find the prime factorization of 74976 and 74987. After we will calculate the factors of 74976 and 74987 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 74987

Prime factors of 74987 are 11, 17, 401. Prime factorization of 74987 in exponential form is:

74987 = 11¹ × 17¹ × 401¹

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 74987

List of positive integer factors of 74987 that divides 74976 without a remainder.

1, 11, 17, 187, 401, 4411, 6817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74976 and 74987. The biggest common factor number is the GCF number.
So the greatest common factor 74976 and 74987 is 11.

Also check out the Least Common Multiple of 74976 and 74987