What is the Greatest Common Factor of 21527 and 21539?

Greatest common factor (GCF) of 21527 and 21539 is 1.

GCF(21527,21539) = 1

We will now calculate the prime factors of 21527 and 21539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21527 and 21539.

How to find the GCF of 21527 and 21539?

We will first find the prime factorization of 21527 and 21539. After we will calculate the factors of 21527 and 21539 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21539

Prime factors of 21539 are 7, 17, 181. Prime factorization of 21539 in exponential form is:

21539 = 7¹ × 17¹ × 181¹

Step-3: Factors of 21527

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

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

Step-4: Factors of 21539

List of positive integer factors of 21539 that divides 21527 without a remainder.

1, 7, 17, 119, 181, 1267, 3077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21527 and 21539. The biggest common factor number is the GCF number.
So the greatest common factor 21527 and 21539 is 1.

Also check out the Least Common Multiple of 21527 and 21539