What is the Greatest Common Factor of 75920 and 75928?

Greatest common factor (GCF) of 75920 and 75928 is 8.

GCF(75920,75928) = 8

We will now calculate the prime factors of 75920 and 75928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75920 and 75928.

How to find the GCF of 75920 and 75928?

We will first find the prime factorization of 75920 and 75928. After we will calculate the factors of 75920 and 75928 and find the biggest common factor number .

Step-1: Prime Factorization of 75920

Prime factors of 75920 are 2, 5, 13, 73. Prime factorization of 75920 in exponential form is:

75920 = 2⁴ × 5¹ × 13¹ × 73¹

Step-2: Prime Factorization of 75928

Prime factors of 75928 are 2, 9491. Prime factorization of 75928 in exponential form is:

75928 = 2³ × 9491¹

Step-3: Factors of 75920

List of positive integer factors of 75920 that divides 75920 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 73, 80, 104, 130, 146, 208, 260, 292, 365, 520, 584, 730, 949, 1040, 1168, 1460, 1898, 2920, 3796, 4745, 5840, 7592, 9490, 15184, 18980, 37960

Step-4: Factors of 75928

List of positive integer factors of 75928 that divides 75920 without a remainder.

1, 2, 4, 8, 9491, 18982, 37964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75920 and 75928. The biggest common factor number is the GCF number.
So the greatest common factor 75920 and 75928 is 8.

Also check out the Least Common Multiple of 75920 and 75928