What is the Greatest Common Factor of 73128 and 73139?

Greatest common factor (GCF) of 73128 and 73139 is 11.

GCF(73128,73139) = 11

We will now calculate the prime factors of 73128 and 73139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73128 and 73139.

How to find the GCF of 73128 and 73139?

We will first find the prime factorization of 73128 and 73139. After we will calculate the factors of 73128 and 73139 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73139

Prime factors of 73139 are 11, 61, 109. Prime factorization of 73139 in exponential form is:

73139 = 11¹ × 61¹ × 109¹

Step-3: Factors of 73128

List of positive integer factors of 73128 that divides 73128 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

Step-4: Factors of 73139

List of positive integer factors of 73139 that divides 73128 without a remainder.

1, 11, 61, 109, 671, 1199, 6649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73128 and 73139. The biggest common factor number is the GCF number.
So the greatest common factor 73128 and 73139 is 11.

Also check out the Least Common Multiple of 73128 and 73139