What is the Greatest Common Factor of 80700 and 80708?

Greatest common factor (GCF) of 80700 and 80708 is 4.

GCF(80700,80708) = 4

We will now calculate the prime factors of 80700 and 80708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80700 and 80708.

How to find the GCF of 80700 and 80708?

We will first find the prime factorization of 80700 and 80708. After we will calculate the factors of 80700 and 80708 and find the biggest common factor number .

Step-1: Prime Factorization of 80700

Prime factors of 80700 are 2, 3, 5, 269. Prime factorization of 80700 in exponential form is:

80700 = 2² × 3¹ × 5² × 269¹

Step-2: Prime Factorization of 80708

Prime factors of 80708 are 2, 20177. Prime factorization of 80708 in exponential form is:

80708 = 2² × 20177¹

Step-3: Factors of 80700

List of positive integer factors of 80700 that divides 80700 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 269, 300, 538, 807, 1076, 1345, 1614, 2690, 3228, 4035, 5380, 6725, 8070, 13450, 16140, 20175, 26900, 40350

Step-4: Factors of 80708

List of positive integer factors of 80708 that divides 80700 without a remainder.

1, 2, 4, 20177, 40354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80700 and 80708. The biggest common factor number is the GCF number.
So the greatest common factor 80700 and 80708 is 4.

Also check out the Least Common Multiple of 80700 and 80708