What is the Greatest Common Factor of 21075 and 21079?

Greatest common factor (GCF) of 21075 and 21079 is 1.

GCF(21075,21079) = 1

We will now calculate the prime factors of 21075 and 21079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21075 and 21079.

How to find the GCF of 21075 and 21079?

We will first find the prime factorization of 21075 and 21079. After we will calculate the factors of 21075 and 21079 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 21079

Prime factors of 21079 are 107, 197. Prime factorization of 21079 in exponential form is:

21079 = 107¹ × 197¹

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 21079

List of positive integer factors of 21079 that divides 21075 without a remainder.

1, 107, 197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21075 and 21079. The biggest common factor number is the GCF number.
So the greatest common factor 21075 and 21079 is 1.

Also check out the Least Common Multiple of 21075 and 21079