What is the Greatest Common Factor of 42636 and 42647?

Greatest common factor (GCF) of 42636 and 42647 is 11.

GCF(42636,42647) = 11

We will now calculate the prime factors of 42636 and 42647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42636 and 42647.

How to find the GCF of 42636 and 42647?

We will first find the prime factorization of 42636 and 42647. After we will calculate the factors of 42636 and 42647 and find the biggest common factor number .

Step-1: Prime Factorization of 42636

Prime factors of 42636 are 2, 3, 11, 17, 19. Prime factorization of 42636 in exponential form is:

42636 = 2² × 3¹ × 11¹ × 17¹ × 19¹

Step-2: Prime Factorization of 42647

Prime factors of 42647 are 11, 3877. Prime factorization of 42647 in exponential form is:

42647 = 11¹ × 3877¹

Step-3: Factors of 42636

List of positive integer factors of 42636 that divides 42636 without a remainder.

1, 2, 3, 4, 6, 11, 12, 17, 19, 22, 33, 34, 38, 44, 51, 57, 66, 68, 76, 102, 114, 132, 187, 204, 209, 228, 323, 374, 418, 561, 627, 646, 748, 836, 969, 1122, 1254, 1292, 1938, 2244, 2508, 3553, 3876, 7106, 10659, 14212, 21318

Step-4: Factors of 42647

List of positive integer factors of 42647 that divides 42636 without a remainder.

1, 11, 3877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42636 and 42647. The biggest common factor number is the GCF number.
So the greatest common factor 42636 and 42647 is 11.

Also check out the Least Common Multiple of 42636 and 42647