What is the Greatest Common Factor of 75920 and 75937?

Greatest common factor (GCF) of 75920 and 75937 is 1.

GCF(75920,75937) = 1

We will now calculate the prime factors of 75920 and 75937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75920 and 75937.

How to find the GCF of 75920 and 75937?

We will first find the prime factorization of 75920 and 75937. After we will calculate the factors of 75920 and 75937 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 75937

Prime factors of 75937 are 75937. Prime factorization of 75937 in exponential form is:

75937 = 75937¹

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 75937

List of positive integer factors of 75937 that divides 75920 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75920 and 75937. The biggest common factor number is the GCF number.
So the greatest common factor 75920 and 75937 is 1.

Also check out the Least Common Multiple of 75920 and 75937