What is the Greatest Common Factor of 42636 and 42648?

Greatest common factor (GCF) of 42636 and 42648 is 12.

GCF(42636,42648) = 12

We will now calculate the prime factors of 42636 and 42648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42636 and 42648.

How to find the GCF of 42636 and 42648?

We will first find the prime factorization of 42636 and 42648. After we will calculate the factors of 42636 and 42648 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 42648

Prime factors of 42648 are 2, 3, 1777. Prime factorization of 42648 in exponential form is:

42648 = 2³ × 3¹ × 1777¹

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 42648

List of positive integer factors of 42648 that divides 42636 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1777, 3554, 5331, 7108, 10662, 14216, 21324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42636 and 42648. The biggest common factor number is the GCF number.
So the greatest common factor 42636 and 42648 is 12.

Also check out the Least Common Multiple of 42636 and 42648