What is the Greatest Common Factor of 84909 and 84920?

Greatest common factor (GCF) of 84909 and 84920 is 11.

GCF(84909,84920) = 11

We will now calculate the prime factors of 84909 and 84920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84909 and 84920.

How to find the GCF of 84909 and 84920?

We will first find the prime factorization of 84909 and 84920. After we will calculate the factors of 84909 and 84920 and find the biggest common factor number .

Step-1: Prime Factorization of 84909

Prime factors of 84909 are 3, 11, 31, 83. Prime factorization of 84909 in exponential form is:

84909 = 3¹ × 11¹ × 31¹ × 83¹

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 84909

List of positive integer factors of 84909 that divides 84909 without a remainder.

1, 3, 11, 31, 33, 83, 93, 249, 341, 913, 1023, 2573, 2739, 7719, 28303

Step-4: Factors of 84920

List of positive integer factors of 84920 that divides 84909 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 84909 and 84920. The biggest common factor number is the GCF number.
So the greatest common factor 84909 and 84920 is 11.

Also check out the Least Common Multiple of 84909 and 84920