What is the Greatest Common Factor of 80756 and 80768?

Greatest common factor (GCF) of 80756 and 80768 is 4.

GCF(80756,80768) = 4

We will now calculate the prime factors of 80756 and 80768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80756 and 80768.

How to find the GCF of 80756 and 80768?

We will first find the prime factorization of 80756 and 80768. After we will calculate the factors of 80756 and 80768 and find the biggest common factor number .

Step-1: Prime Factorization of 80756

Prime factors of 80756 are 2, 13, 1553. Prime factorization of 80756 in exponential form is:

80756 = 2² × 13¹ × 1553¹

Step-2: Prime Factorization of 80768

Prime factors of 80768 are 2, 631. Prime factorization of 80768 in exponential form is:

80768 = 2⁷ × 631¹

Step-3: Factors of 80756

List of positive integer factors of 80756 that divides 80756 without a remainder.

1, 2, 4, 13, 26, 52, 1553, 3106, 6212, 20189, 40378

Step-4: Factors of 80768

List of positive integer factors of 80768 that divides 80756 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 631, 1262, 2524, 5048, 10096, 20192, 40384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80756 and 80768. The biggest common factor number is the GCF number.
So the greatest common factor 80756 and 80768 is 4.

Also check out the Least Common Multiple of 80756 and 80768