What is the Greatest Common Factor of 80752 and 80756?

Greatest common factor (GCF) of 80752 and 80756 is 4.

GCF(80752,80756) = 4

We will now calculate the prime factors of 80752 and 80756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80752 and 80756.

How to find the GCF of 80752 and 80756?

We will first find the prime factorization of 80752 and 80756. After we will calculate the factors of 80752 and 80756 and find the biggest common factor number .

Step-1: Prime Factorization of 80752

Prime factors of 80752 are 2, 7, 103. Prime factorization of 80752 in exponential form is:

80752 = 2⁴ × 7² × 103¹

Step-2: 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-3: Factors of 80752

List of positive integer factors of 80752 that divides 80752 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 103, 112, 196, 206, 392, 412, 721, 784, 824, 1442, 1648, 2884, 5047, 5768, 10094, 11536, 20188, 40376

Step-4: Factors of 80756

List of positive integer factors of 80756 that divides 80752 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80752 and 80756. The biggest common factor number is the GCF number.
So the greatest common factor 80752 and 80756 is 4.

Also check out the Least Common Multiple of 80752 and 80756