What is the Greatest Common Factor of 75920 and 75925?

Greatest common factor (GCF) of 75920 and 75925 is 5.

GCF(75920,75925) = 5

We will now calculate the prime factors of 75920 and 75925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75920 and 75925.

How to find the GCF of 75920 and 75925?

We will first find the prime factorization of 75920 and 75925. After we will calculate the factors of 75920 and 75925 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 75925

Prime factors of 75925 are 5, 3037. Prime factorization of 75925 in exponential form is:

75925 = 5² × 3037¹

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 75925

List of positive integer factors of 75925 that divides 75920 without a remainder.

1, 5, 25, 3037, 15185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75920 and 75925. The biggest common factor number is the GCF number.
So the greatest common factor 75920 and 75925 is 5.

Also check out the Least Common Multiple of 75920 and 75925