What is the Greatest Common Factor of 42610 and 42624?

Greatest common factor (GCF) of 42610 and 42624 is 2.

GCF(42610,42624) = 2

We will now calculate the prime factors of 42610 and 42624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42610 and 42624.

How to find the GCF of 42610 and 42624?

We will first find the prime factorization of 42610 and 42624. After we will calculate the factors of 42610 and 42624 and find the biggest common factor number .

Step-1: Prime Factorization of 42610

Prime factors of 42610 are 2, 5, 4261. Prime factorization of 42610 in exponential form is:

42610 = 2¹ × 5¹ × 4261¹

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 42610

List of positive integer factors of 42610 that divides 42610 without a remainder.

1, 2, 5, 10, 4261, 8522, 21305

Step-4: Factors of 42624

List of positive integer factors of 42624 that divides 42610 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 42610 and 42624. The biggest common factor number is the GCF number.
So the greatest common factor 42610 and 42624 is 2.

Also check out the Least Common Multiple of 42610 and 42624