What is the Greatest Common Factor of 73120 and 73128?

Greatest common factor (GCF) of 73120 and 73128 is 8.

GCF(73120,73128) = 8

We will now calculate the prime factors of 73120 and 73128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73120 and 73128.

How to find the GCF of 73120 and 73128?

We will first find the prime factorization of 73120 and 73128. After we will calculate the factors of 73120 and 73128 and find the biggest common factor number .

Step-1: Prime Factorization of 73120

Prime factors of 73120 are 2, 5, 457. Prime factorization of 73120 in exponential form is:

73120 = 2⁵ × 5¹ × 457¹

Step-2: Prime Factorization of 73128

Prime factors of 73128 are 2, 3, 11, 277. Prime factorization of 73128 in exponential form is:

73128 = 2³ × 3¹ × 11¹ × 277¹

Step-3: Factors of 73120

List of positive integer factors of 73120 that divides 73120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 457, 914, 1828, 2285, 3656, 4570, 7312, 9140, 14624, 18280, 36560

Step-4: Factors of 73128

List of positive integer factors of 73128 that divides 73120 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 277, 554, 831, 1108, 1662, 2216, 3047, 3324, 6094, 6648, 9141, 12188, 18282, 24376, 36564

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73120 and 73128. The biggest common factor number is the GCF number.
So the greatest common factor 73120 and 73128 is 8.

Also check out the Least Common Multiple of 73120 and 73128