What is the Greatest Common Factor of 83080 and 83100?

Greatest common factor (GCF) of 83080 and 83100 is 20.

GCF(83080,83100) = 20

We will now calculate the prime factors of 83080 and 83100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83080 and 83100.

How to find the GCF of 83080 and 83100?

We will first find the prime factorization of 83080 and 83100. After we will calculate the factors of 83080 and 83100 and find the biggest common factor number .

Step-1: Prime Factorization of 83080

Prime factors of 83080 are 2, 5, 31, 67. Prime factorization of 83080 in exponential form is:

83080 = 2³ × 5¹ × 31¹ × 67¹

Step-2: 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-3: Factors of 83080

List of positive integer factors of 83080 that divides 83080 without a remainder.

1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 67, 124, 134, 155, 248, 268, 310, 335, 536, 620, 670, 1240, 1340, 2077, 2680, 4154, 8308, 10385, 16616, 20770, 41540

Step-4: Factors of 83100

List of positive integer factors of 83100 that divides 83080 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83080 and 83100. The biggest common factor number is the GCF number.
So the greatest common factor 83080 and 83100 is 20.

Also check out the Least Common Multiple of 83080 and 83100