What is the Greatest Common Factor of 42636 and 42644?

Greatest common factor (GCF) of 42636 and 42644 is 4.

GCF(42636,42644) = 4

We will now calculate the prime factors of 42636 and 42644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42636 and 42644.

How to find the GCF of 42636 and 42644?

We will first find the prime factorization of 42636 and 42644. After we will calculate the factors of 42636 and 42644 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 42644

Prime factors of 42644 are 2, 7, 1523. Prime factorization of 42644 in exponential form is:

42644 = 2² × 7¹ × 1523¹

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 42644

List of positive integer factors of 42644 that divides 42636 without a remainder.

1, 2, 4, 7, 14, 28, 1523, 3046, 6092, 10661, 21322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42636 and 42644. The biggest common factor number is the GCF number.
So the greatest common factor 42636 and 42644 is 4.

Also check out the Least Common Multiple of 42636 and 42644