What is the Greatest Common Factor of 42617 and 42624?

Greatest common factor (GCF) of 42617 and 42624 is 1.

GCF(42617,42624) = 1

We will now calculate the prime factors of 42617 and 42624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42617 and 42624.

How to find the GCF of 42617 and 42624?

We will first find the prime factorization of 42617 and 42624. After we will calculate the factors of 42617 and 42624 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 42624

Prime factors of 42624 are 2, 3, 37. Prime factorization of 42624 in exponential form is:

42624 = 2⁷ × 3² × 37¹

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 42624

List of positive integer factors of 42624 that divides 42617 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 37, 48, 64, 72, 74, 96, 111, 128, 144, 148, 192, 222, 288, 296, 333, 384, 444, 576, 592, 666, 888, 1152, 1184, 1332, 1776, 2368, 2664, 3552, 4736, 5328, 7104, 10656, 14208, 21312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42617 and 42624. The biggest common factor number is the GCF number.
So the greatest common factor 42617 and 42624 is 1.

Also check out the Least Common Multiple of 42617 and 42624