What is the Greatest Common Factor of 42614 and 42634?

Greatest common factor (GCF) of 42614 and 42634 is 2.

GCF(42614,42634) = 2

We will now calculate the prime factors of 42614 and 42634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42614 and 42634.

How to find the GCF of 42614 and 42634?

We will first find the prime factorization of 42614 and 42634. After we will calculate the factors of 42614 and 42634 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42634

Prime factors of 42634 are 2, 21317. Prime factorization of 42634 in exponential form is:

42634 = 2¹ × 21317¹

Step-3: Factors of 42614

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

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

Step-4: Factors of 42634

List of positive integer factors of 42634 that divides 42614 without a remainder.

1, 2, 21317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42614 and 42634. The biggest common factor number is the GCF number.
So the greatest common factor 42614 and 42634 is 2.

Also check out the Least Common Multiple of 42614 and 42634