What is the Greatest Common Factor of 75920 and 75930?

Greatest common factor (GCF) of 75920 and 75930 is 10.

GCF(75920,75930) = 10

We will now calculate the prime factors of 75920 and 75930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75920 and 75930.

How to find the GCF of 75920 and 75930?

We will first find the prime factorization of 75920 and 75930. After we will calculate the factors of 75920 and 75930 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 75930

Prime factors of 75930 are 2, 3, 5, 2531. Prime factorization of 75930 in exponential form is:

75930 = 2¹ × 3¹ × 5¹ × 2531¹

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 75930

List of positive integer factors of 75930 that divides 75920 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2531, 5062, 7593, 12655, 15186, 25310, 37965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75920 and 75930. The biggest common factor number is the GCF number.
So the greatest common factor 75920 and 75930 is 10.

Also check out the Least Common Multiple of 75920 and 75930