What is the Greatest Common Factor of 21300 and 21310?

Greatest common factor (GCF) of 21300 and 21310 is 10.

GCF(21300,21310) = 10

We will now calculate the prime factors of 21300 and 21310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21300 and 21310.

How to find the GCF of 21300 and 21310?

We will first find the prime factorization of 21300 and 21310. After we will calculate the factors of 21300 and 21310 and find the biggest common factor number .

Step-1: Prime Factorization of 21300

Prime factors of 21300 are 2, 3, 5, 71. Prime factorization of 21300 in exponential form is:

21300 = 2² × 3¹ × 5² × 71¹

Step-2: Prime Factorization of 21310

Prime factors of 21310 are 2, 5, 2131. Prime factorization of 21310 in exponential form is:

21310 = 2¹ × 5¹ × 2131¹

Step-3: Factors of 21300

List of positive integer factors of 21300 that divides 21300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 71, 75, 100, 142, 150, 213, 284, 300, 355, 426, 710, 852, 1065, 1420, 1775, 2130, 3550, 4260, 5325, 7100, 10650

Step-4: Factors of 21310

List of positive integer factors of 21310 that divides 21300 without a remainder.

1, 2, 5, 10, 2131, 4262, 10655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21300 and 21310. The biggest common factor number is the GCF number.
So the greatest common factor 21300 and 21310 is 10.

Also check out the Least Common Multiple of 21300 and 21310