What is the Greatest Common Factor of 21725 and 21736?

Greatest common factor (GCF) of 21725 and 21736 is 11.

GCF(21725,21736) = 11

We will now calculate the prime factors of 21725 and 21736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21725 and 21736.

How to find the GCF of 21725 and 21736?

We will first find the prime factorization of 21725 and 21736. After we will calculate the factors of 21725 and 21736 and find the biggest common factor number .

Step-1: Prime Factorization of 21725

Prime factors of 21725 are 5, 11, 79. Prime factorization of 21725 in exponential form is:

21725 = 5² × 11¹ × 79¹

Step-2: Prime Factorization of 21736

Prime factors of 21736 are 2, 11, 13, 19. Prime factorization of 21736 in exponential form is:

21736 = 2³ × 11¹ × 13¹ × 19¹

Step-3: Factors of 21725

List of positive integer factors of 21725 that divides 21725 without a remainder.

1, 5, 11, 25, 55, 79, 275, 395, 869, 1975, 4345

Step-4: Factors of 21736

List of positive integer factors of 21736 that divides 21725 without a remainder.

1, 2, 4, 8, 11, 13, 19, 22, 26, 38, 44, 52, 76, 88, 104, 143, 152, 209, 247, 286, 418, 494, 572, 836, 988, 1144, 1672, 1976, 2717, 5434, 10868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21725 and 21736. The biggest common factor number is the GCF number.
So the greatest common factor 21725 and 21736 is 11.

Also check out the Least Common Multiple of 21725 and 21736