What is the Greatest Common Factor of 77120 and 77139?

Greatest common factor (GCF) of 77120 and 77139 is 1.

GCF(77120,77139) = 1

We will now calculate the prime factors of 77120 and 77139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77120 and 77139.

How to find the GCF of 77120 and 77139?

We will first find the prime factorization of 77120 and 77139. After we will calculate the factors of 77120 and 77139 and find the biggest common factor number .

Step-1: Prime Factorization of 77120

Prime factors of 77120 are 2, 5, 241. Prime factorization of 77120 in exponential form is:

77120 = 2⁶ × 5¹ × 241¹

Step-2: Prime Factorization of 77139

Prime factors of 77139 are 3, 2857. Prime factorization of 77139 in exponential form is:

77139 = 3³ × 2857¹

Step-3: Factors of 77120

List of positive integer factors of 77120 that divides 77120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 241, 320, 482, 964, 1205, 1928, 2410, 3856, 4820, 7712, 9640, 15424, 19280, 38560

Step-4: Factors of 77139

List of positive integer factors of 77139 that divides 77120 without a remainder.

1, 3, 9, 27, 2857, 8571, 25713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77120 and 77139. The biggest common factor number is the GCF number.
So the greatest common factor 77120 and 77139 is 1.

Also check out the Least Common Multiple of 77120 and 77139