What is the Greatest Common Factor of 42617 and 42636?

Greatest common factor (GCF) of 42617 and 42636 is 19.

GCF(42617,42636) = 19

We will now calculate the prime factors of 42617 and 42636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42617 and 42636.

How to find the GCF of 42617 and 42636?

We will first find the prime factorization of 42617 and 42636. After we will calculate the factors of 42617 and 42636 and find the biggest common factor number .

Step-1: Prime Factorization of 42617

Prime factors of 42617 are 19, 2243. Prime factorization of 42617 in exponential form is:

42617 = 19¹ × 2243¹

Step-2: 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-3: Factors of 42617

List of positive integer factors of 42617 that divides 42617 without a remainder.

1, 19, 2243

Step-4: Factors of 42636

List of positive integer factors of 42636 that divides 42617 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42617 and 42636. The biggest common factor number is the GCF number.
So the greatest common factor 42617 and 42636 is 19.

Also check out the Least Common Multiple of 42617 and 42636