What is the Greatest Common Factor of 82700 and 82710?

Greatest common factor (GCF) of 82700 and 82710 is 10.

GCF(82700,82710) = 10

We will now calculate the prime factors of 82700 and 82710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82700 and 82710.

How to find the GCF of 82700 and 82710?

We will first find the prime factorization of 82700 and 82710. After we will calculate the factors of 82700 and 82710 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 82710

Prime factors of 82710 are 2, 3, 5, 919. Prime factorization of 82710 in exponential form is:

82710 = 2¹ × 3² × 5¹ × 919¹

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 82710

List of positive integer factors of 82710 that divides 82700 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 919, 1838, 2757, 4595, 5514, 8271, 9190, 13785, 16542, 27570, 41355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82700 and 82710. The biggest common factor number is the GCF number.
So the greatest common factor 82700 and 82710 is 10.

Also check out the Least Common Multiple of 82700 and 82710