What is the Greatest Common Factor of 76816 and 76820?

Greatest common factor (GCF) of 76816 and 76820 is 4.

GCF(76816,76820) = 4

We will now calculate the prime factors of 76816 and 76820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76816 and 76820.

How to find the GCF of 76816 and 76820?

We will first find the prime factorization of 76816 and 76820. After we will calculate the factors of 76816 and 76820 and find the biggest common factor number .

Step-1: Prime Factorization of 76816

Prime factors of 76816 are 2, 4801. Prime factorization of 76816 in exponential form is:

76816 = 2⁴ × 4801¹

Step-2: Prime Factorization of 76820

Prime factors of 76820 are 2, 5, 23, 167. Prime factorization of 76820 in exponential form is:

76820 = 2² × 5¹ × 23¹ × 167¹

Step-3: Factors of 76816

List of positive integer factors of 76816 that divides 76816 without a remainder.

1, 2, 4, 8, 16, 4801, 9602, 19204, 38408

Step-4: Factors of 76820

List of positive integer factors of 76820 that divides 76816 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 167, 230, 334, 460, 668, 835, 1670, 3340, 3841, 7682, 15364, 19205, 38410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76816 and 76820. The biggest common factor number is the GCF number.
So the greatest common factor 76816 and 76820 is 4.

Also check out the Least Common Multiple of 76816 and 76820