What is the Greatest Common Factor of 42596 and 42614?

Greatest common factor (GCF) of 42596 and 42614 is 2.

GCF(42596,42614) = 2

We will now calculate the prime factors of 42596 and 42614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42596 and 42614.

How to find the GCF of 42596 and 42614?

We will first find the prime factorization of 42596 and 42614. After we will calculate the factors of 42596 and 42614 and find the biggest common factor number .

Step-1: Prime Factorization of 42596

Prime factors of 42596 are 2, 23, 463. Prime factorization of 42596 in exponential form is:

42596 = 2² × 23¹ × 463¹

Step-2: Prime Factorization of 42614

Prime factors of 42614 are 2, 11, 13, 149. Prime factorization of 42614 in exponential form is:

42614 = 2¹ × 11¹ × 13¹ × 149¹

Step-3: Factors of 42596

List of positive integer factors of 42596 that divides 42596 without a remainder.

1, 2, 4, 23, 46, 92, 463, 926, 1852, 10649, 21298

Step-4: Factors of 42614

List of positive integer factors of 42614 that divides 42596 without a remainder.

1, 2, 11, 13, 22, 26, 143, 149, 286, 298, 1639, 1937, 3278, 3874, 21307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42596 and 42614. The biggest common factor number is the GCF number.
So the greatest common factor 42596 and 42614 is 2.

Also check out the Least Common Multiple of 42596 and 42614