What is the Greatest Common Factor of 84900 and 84920?

Greatest common factor (GCF) of 84900 and 84920 is 20.

GCF(84900,84920) = 20

We will now calculate the prime factors of 84900 and 84920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84900 and 84920.

How to find the GCF of 84900 and 84920?

We will first find the prime factorization of 84900 and 84920. After we will calculate the factors of 84900 and 84920 and find the biggest common factor number .

Step-1: Prime Factorization of 84900

Prime factors of 84900 are 2, 3, 5, 283. Prime factorization of 84900 in exponential form is:

84900 = 2² × 3¹ × 5² × 283¹

Step-2: Prime Factorization of 84920

Prime factors of 84920 are 2, 5, 11, 193. Prime factorization of 84920 in exponential form is:

84920 = 2³ × 5¹ × 11¹ × 193¹

Step-3: Factors of 84900

List of positive integer factors of 84900 that divides 84900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 283, 300, 566, 849, 1132, 1415, 1698, 2830, 3396, 4245, 5660, 7075, 8490, 14150, 16980, 21225, 28300, 42450

Step-4: Factors of 84920

List of positive integer factors of 84920 that divides 84900 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 193, 220, 386, 440, 772, 965, 1544, 1930, 2123, 3860, 4246, 7720, 8492, 10615, 16984, 21230, 42460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84900 and 84920. The biggest common factor number is the GCF number.
So the greatest common factor 84900 and 84920 is 20.

Also check out the Least Common Multiple of 84900 and 84920