What is the Greatest Common Factor of 75008 and 75020?

Greatest common factor (GCF) of 75008 and 75020 is 4.

GCF(75008,75020) = 4

We will now calculate the prime factors of 75008 and 75020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75008 and 75020.

How to find the GCF of 75008 and 75020?

We will first find the prime factorization of 75008 and 75020. After we will calculate the factors of 75008 and 75020 and find the biggest common factor number .

Step-1: Prime Factorization of 75008

Prime factors of 75008 are 2, 293. Prime factorization of 75008 in exponential form is:

75008 = 2⁸ × 293¹

Step-2: Prime Factorization of 75020

Prime factors of 75020 are 2, 5, 11, 31. Prime factorization of 75020 in exponential form is:

75020 = 2² × 5¹ × 11² × 31¹

Step-3: Factors of 75008

List of positive integer factors of 75008 that divides 75008 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 293, 586, 1172, 2344, 4688, 9376, 18752, 37504

Step-4: Factors of 75020

List of positive integer factors of 75020 that divides 75008 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 31, 44, 55, 62, 110, 121, 124, 155, 220, 242, 310, 341, 484, 605, 620, 682, 1210, 1364, 1705, 2420, 3410, 3751, 6820, 7502, 15004, 18755, 37510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75008 and 75020. The biggest common factor number is the GCF number.
So the greatest common factor 75008 and 75020 is 4.

Also check out the Least Common Multiple of 75008 and 75020