What is the Greatest Common Factor of 77610 and 77614?

Greatest common factor (GCF) of 77610 and 77614 is 2.

GCF(77610,77614) = 2

We will now calculate the prime factors of 77610 and 77614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77610 and 77614.

How to find the GCF of 77610 and 77614?

We will first find the prime factorization of 77610 and 77614. After we will calculate the factors of 77610 and 77614 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77614

Prime factors of 77614 are 2, 151, 257. Prime factorization of 77614 in exponential form is:

77614 = 2¹ × 151¹ × 257¹

Step-3: Factors of 77610

List of positive integer factors of 77610 that divides 77610 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

Step-4: Factors of 77614

List of positive integer factors of 77614 that divides 77610 without a remainder.

1, 2, 151, 257, 302, 514, 38807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77610 and 77614. The biggest common factor number is the GCF number.
So the greatest common factor 77610 and 77614 is 2.

Also check out the Least Common Multiple of 77610 and 77614