What is the Greatest Common Factor of 83100 and 83120?

Greatest common factor (GCF) of 83100 and 83120 is 20.

GCF(83100,83120) = 20

We will now calculate the prime factors of 83100 and 83120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83100 and 83120.

How to find the GCF of 83100 and 83120?

We will first find the prime factorization of 83100 and 83120. After we will calculate the factors of 83100 and 83120 and find the biggest common factor number .

Step-1: Prime Factorization of 83100

Prime factors of 83100 are 2, 3, 5, 277. Prime factorization of 83100 in exponential form is:

83100 = 2² × 3¹ × 5² × 277¹

Step-2: Prime Factorization of 83120

Prime factors of 83120 are 2, 5, 1039. Prime factorization of 83120 in exponential form is:

83120 = 2⁴ × 5¹ × 1039¹

Step-3: Factors of 83100

List of positive integer factors of 83100 that divides 83100 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 277, 300, 554, 831, 1108, 1385, 1662, 2770, 3324, 4155, 5540, 6925, 8310, 13850, 16620, 20775, 27700, 41550

Step-4: Factors of 83120

List of positive integer factors of 83120 that divides 83100 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1039, 2078, 4156, 5195, 8312, 10390, 16624, 20780, 41560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83100 and 83120. The biggest common factor number is the GCF number.
So the greatest common factor 83100 and 83120 is 20.

Also check out the Least Common Multiple of 83100 and 83120