What is the Greatest Common Factor of 74877 and 74888?

Greatest common factor (GCF) of 74877 and 74888 is 11.

GCF(74877,74888) = 11

We will now calculate the prime factors of 74877 and 74888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74877 and 74888.

How to find the GCF of 74877 and 74888?

We will first find the prime factorization of 74877 and 74888. After we will calculate the factors of 74877 and 74888 and find the biggest common factor number .

Step-1: Prime Factorization of 74877

Prime factors of 74877 are 3, 11, 2269. Prime factorization of 74877 in exponential form is:

74877 = 3¹ × 11¹ × 2269¹

Step-2: Prime Factorization of 74888

Prime factors of 74888 are 2, 11, 23, 37. Prime factorization of 74888 in exponential form is:

74888 = 2³ × 11¹ × 23¹ × 37¹

Step-3: Factors of 74877

List of positive integer factors of 74877 that divides 74877 without a remainder.

1, 3, 11, 33, 2269, 6807, 24959

Step-4: Factors of 74888

List of positive integer factors of 74888 that divides 74877 without a remainder.

1, 2, 4, 8, 11, 22, 23, 37, 44, 46, 74, 88, 92, 148, 184, 253, 296, 407, 506, 814, 851, 1012, 1628, 1702, 2024, 3256, 3404, 6808, 9361, 18722, 37444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74877 and 74888. The biggest common factor number is the GCF number.
So the greatest common factor 74877 and 74888 is 11.

Also check out the Least Common Multiple of 74877 and 74888