What is the Greatest Common Factor of 21508 and 21527?

Greatest common factor (GCF) of 21508 and 21527 is 19.

GCF(21508,21527) = 19

We will now calculate the prime factors of 21508 and 21527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21508 and 21527.

How to find the GCF of 21508 and 21527?

We will first find the prime factorization of 21508 and 21527. After we will calculate the factors of 21508 and 21527 and find the biggest common factor number .

Step-1: Prime Factorization of 21508

Prime factors of 21508 are 2, 19, 283. Prime factorization of 21508 in exponential form is:

21508 = 2² × 19¹ × 283¹

Step-2: Prime Factorization of 21527

Prime factors of 21527 are 11, 19, 103. Prime factorization of 21527 in exponential form is:

21527 = 11¹ × 19¹ × 103¹

Step-3: Factors of 21508

List of positive integer factors of 21508 that divides 21508 without a remainder.

1, 2, 4, 19, 38, 76, 283, 566, 1132, 5377, 10754

Step-4: Factors of 21527

List of positive integer factors of 21527 that divides 21508 without a remainder.

1, 11, 19, 103, 209, 1133, 1957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21508 and 21527. The biggest common factor number is the GCF number.
So the greatest common factor 21508 and 21527 is 19.

Also check out the Least Common Multiple of 21508 and 21527