What is the Greatest Common Factor of 74888 and 74907?

Greatest common factor (GCF) of 74888 and 74907 is 1.

GCF(74888,74907) = 1

We will now calculate the prime factors of 74888 and 74907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74888 and 74907.

How to find the GCF of 74888 and 74907?

We will first find the prime factorization of 74888 and 74907. After we will calculate the factors of 74888 and 74907 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 74907

Prime factors of 74907 are 3, 7, 29, 41. Prime factorization of 74907 in exponential form is:

74907 = 3² × 7¹ × 29¹ × 41¹

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 74907

List of positive integer factors of 74907 that divides 74888 without a remainder.

1, 3, 7, 9, 21, 29, 41, 63, 87, 123, 203, 261, 287, 369, 609, 861, 1189, 1827, 2583, 3567, 8323, 10701, 24969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74888 and 74907. The biggest common factor number is the GCF number.
So the greatest common factor 74888 and 74907 is 1.

Also check out the Least Common Multiple of 74888 and 74907