What is the Greatest Common Factor of 76678 and 76684?

Greatest common factor (GCF) of 76678 and 76684 is 2.

GCF(76678,76684) = 2

We will now calculate the prime factors of 76678 and 76684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76678 and 76684.

How to find the GCF of 76678 and 76684?

We will first find the prime factorization of 76678 and 76684. After we will calculate the factors of 76678 and 76684 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 76684

Prime factors of 76684 are 2, 19, 1009. Prime factorization of 76684 in exponential form is:

76684 = 2² × 19¹ × 1009¹

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 76684

List of positive integer factors of 76684 that divides 76678 without a remainder.

1, 2, 4, 19, 38, 76, 1009, 2018, 4036, 19171, 38342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76678 and 76684. The biggest common factor number is the GCF number.
So the greatest common factor 76678 and 76684 is 2.

Also check out the Least Common Multiple of 76678 and 76684