What is the Greatest Common Factor of 82700 and 82712?

Greatest common factor (GCF) of 82700 and 82712 is 4.

GCF(82700,82712) = 4

We will now calculate the prime factors of 82700 and 82712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82700 and 82712.

How to find the GCF of 82700 and 82712?

We will first find the prime factorization of 82700 and 82712. After we will calculate the factors of 82700 and 82712 and find the biggest common factor number .

Step-1: Prime Factorization of 82700

Prime factors of 82700 are 2, 5, 827. Prime factorization of 82700 in exponential form is:

82700 = 2² × 5² × 827¹

Step-2: Prime Factorization of 82712

Prime factors of 82712 are 2, 7, 211. Prime factorization of 82712 in exponential form is:

82712 = 2³ × 7² × 211¹

Step-3: Factors of 82700

List of positive integer factors of 82700 that divides 82700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 827, 1654, 3308, 4135, 8270, 16540, 20675, 41350

Step-4: Factors of 82712

List of positive integer factors of 82712 that divides 82700 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 211, 392, 422, 844, 1477, 1688, 2954, 5908, 10339, 11816, 20678, 41356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82700 and 82712. The biggest common factor number is the GCF number.
So the greatest common factor 82700 and 82712 is 4.

Also check out the Least Common Multiple of 82700 and 82712