What is the Greatest Common Factor of 75920 and 75926?

Greatest common factor (GCF) of 75920 and 75926 is 2.

GCF(75920,75926) = 2

We will now calculate the prime factors of 75920 and 75926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75920 and 75926.

How to find the GCF of 75920 and 75926?

We will first find the prime factorization of 75920 and 75926. After we will calculate the factors of 75920 and 75926 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 75926

Prime factors of 75926 are 2, 37963. Prime factorization of 75926 in exponential form is:

75926 = 2¹ × 37963¹

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 75926

List of positive integer factors of 75926 that divides 75920 without a remainder.

1, 2, 37963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75920 and 75926. The biggest common factor number is the GCF number.
So the greatest common factor 75920 and 75926 is 2.

Also check out the Least Common Multiple of 75920 and 75926