What is the Greatest Common Factor of 74888 and 74900?

Greatest common factor (GCF) of 74888 and 74900 is 4.

GCF(74888,74900) = 4

We will now calculate the prime factors of 74888 and 74900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74888 and 74900.

How to find the GCF of 74888 and 74900?

We will first find the prime factorization of 74888 and 74900. After we will calculate the factors of 74888 and 74900 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74900

Prime factors of 74900 are 2, 5, 7, 107. Prime factorization of 74900 in exponential form is:

74900 = 2² × 5² × 7¹ × 107¹

Step-3: Factors of 74888

List of positive integer factors of 74888 that divides 74888 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

Step-4: Factors of 74900

List of positive integer factors of 74900 that divides 74888 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 107, 140, 175, 214, 350, 428, 535, 700, 749, 1070, 1498, 2140, 2675, 2996, 3745, 5350, 7490, 10700, 14980, 18725, 37450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74888 and 74900. The biggest common factor number is the GCF number.
So the greatest common factor 74888 and 74900 is 4.

Also check out the Least Common Multiple of 74888 and 74900