What is the Greatest Common Factor of 21075 and 21080?

Greatest common factor (GCF) of 21075 and 21080 is 5.

GCF(21075,21080) = 5

We will now calculate the prime factors of 21075 and 21080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21075 and 21080.

How to find the GCF of 21075 and 21080?

We will first find the prime factorization of 21075 and 21080. After we will calculate the factors of 21075 and 21080 and find the biggest common factor number .

Step-1: Prime Factorization of 21075

Prime factors of 21075 are 3, 5, 281. Prime factorization of 21075 in exponential form is:

21075 = 3¹ × 5² × 281¹

Step-2: Prime Factorization of 21080

Prime factors of 21080 are 2, 5, 17, 31. Prime factorization of 21080 in exponential form is:

21080 = 2³ × 5¹ × 17¹ × 31¹

Step-3: Factors of 21075

List of positive integer factors of 21075 that divides 21075 without a remainder.

1, 3, 5, 15, 25, 75, 281, 843, 1405, 4215, 7025

Step-4: Factors of 21080

List of positive integer factors of 21080 that divides 21075 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 31, 34, 40, 62, 68, 85, 124, 136, 155, 170, 248, 310, 340, 527, 620, 680, 1054, 1240, 2108, 2635, 4216, 5270, 10540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21075 and 21080. The biggest common factor number is the GCF number.
So the greatest common factor 21075 and 21080 is 5.

Also check out the Least Common Multiple of 21075 and 21080