What is the Greatest Common Factor of 76678 and 76698?

Greatest common factor (GCF) of 76678 and 76698 is 2.

GCF(76678,76698) = 2

We will now calculate the prime factors of 76678 and 76698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76678 and 76698.

How to find the GCF of 76678 and 76698?

We will first find the prime factorization of 76678 and 76698. After we will calculate the factors of 76678 and 76698 and find the biggest common factor number .

Step-1: Prime Factorization of 76678

Prime factors of 76678 are 2, 7, 5477. Prime factorization of 76678 in exponential form is:

76678 = 2¹ × 7¹ × 5477¹

Step-2: Prime Factorization of 76698

Prime factors of 76698 are 2, 3, 4261. Prime factorization of 76698 in exponential form is:

76698 = 2¹ × 3² × 4261¹

Step-3: Factors of 76678

List of positive integer factors of 76678 that divides 76678 without a remainder.

1, 2, 7, 14, 5477, 10954, 38339

Step-4: Factors of 76698

List of positive integer factors of 76698 that divides 76678 without a remainder.

1, 2, 3, 6, 9, 18, 4261, 8522, 12783, 25566, 38349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76678 and 76698. The biggest common factor number is the GCF number.
So the greatest common factor 76678 and 76698 is 2.

Also check out the Least Common Multiple of 76678 and 76698