What is the Greatest Common Factor of 21106 and 21125?

Greatest common factor (GCF) of 21106 and 21125 is 1.

GCF(21106,21125) = 1

We will now calculate the prime factors of 21106 and 21125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21106 and 21125.

How to find the GCF of 21106 and 21125?

We will first find the prime factorization of 21106 and 21125. After we will calculate the factors of 21106 and 21125 and find the biggest common factor number .

Step-1: Prime Factorization of 21106

Prime factors of 21106 are 2, 61, 173. Prime factorization of 21106 in exponential form is:

21106 = 2¹ × 61¹ × 173¹

Step-2: Prime Factorization of 21125

Prime factors of 21125 are 5, 13. Prime factorization of 21125 in exponential form is:

21125 = 5³ × 13²

Step-3: Factors of 21106

List of positive integer factors of 21106 that divides 21106 without a remainder.

1, 2, 61, 122, 173, 346, 10553

Step-4: Factors of 21125

List of positive integer factors of 21125 that divides 21106 without a remainder.

1, 5, 13, 25, 65, 125, 169, 325, 845, 1625, 4225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21106 and 21125. The biggest common factor number is the GCF number.
So the greatest common factor 21106 and 21125 is 1.

Also check out the Least Common Multiple of 21106 and 21125