What is the Greatest Common Factor of 77597 and 77610?

Greatest common factor (GCF) of 77597 and 77610 is 13.

GCF(77597,77610) = 13

We will now calculate the prime factors of 77597 and 77610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77597 and 77610.

How to find the GCF of 77597 and 77610?

We will first find the prime factorization of 77597 and 77610. After we will calculate the factors of 77597 and 77610 and find the biggest common factor number .

Step-1: Prime Factorization of 77597

Prime factors of 77597 are 13, 47, 127. Prime factorization of 77597 in exponential form is:

77597 = 13¹ × 47¹ × 127¹

Step-2: Prime Factorization of 77610

Prime factors of 77610 are 2, 3, 5, 13, 199. Prime factorization of 77610 in exponential form is:

77610 = 2¹ × 3¹ × 5¹ × 13¹ × 199¹

Step-3: Factors of 77597

List of positive integer factors of 77597 that divides 77597 without a remainder.

1, 13, 47, 127, 611, 1651, 5969

Step-4: Factors of 77610

List of positive integer factors of 77610 that divides 77597 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 199, 390, 398, 597, 995, 1194, 1990, 2587, 2985, 5174, 5970, 7761, 12935, 15522, 25870, 38805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77597 and 77610. The biggest common factor number is the GCF number.
So the greatest common factor 77597 and 77610 is 13.

Also check out the Least Common Multiple of 77597 and 77610