What is the Greatest Common Factor of 21506 and 21520?

Greatest common factor (GCF) of 21506 and 21520 is 2.

GCF(21506,21520) = 2

We will now calculate the prime factors of 21506 and 21520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21506 and 21520.

How to find the GCF of 21506 and 21520?

We will first find the prime factorization of 21506 and 21520. After we will calculate the factors of 21506 and 21520 and find the biggest common factor number .

Step-1: Prime Factorization of 21506

Prime factors of 21506 are 2, 10753. Prime factorization of 21506 in exponential form is:

21506 = 2¹ × 10753¹

Step-2: Prime Factorization of 21520

Prime factors of 21520 are 2, 5, 269. Prime factorization of 21520 in exponential form is:

21520 = 2⁴ × 5¹ × 269¹

Step-3: Factors of 21506

List of positive integer factors of 21506 that divides 21506 without a remainder.

1, 2, 10753

Step-4: Factors of 21520

List of positive integer factors of 21520 that divides 21506 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 269, 538, 1076, 1345, 2152, 2690, 4304, 5380, 10760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21506 and 21520. The biggest common factor number is the GCF number.
So the greatest common factor 21506 and 21520 is 2.

Also check out the Least Common Multiple of 21506 and 21520