What is the Greatest Common Factor of 42638 and 42658?

Greatest common factor (GCF) of 42638 and 42658 is 2.

GCF(42638,42658) = 2

We will now calculate the prime factors of 42638 and 42658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42638 and 42658.

How to find the GCF of 42638 and 42658?

We will first find the prime factorization of 42638 and 42658. After we will calculate the factors of 42638 and 42658 and find the biggest common factor number .

Step-1: Prime Factorization of 42638

Prime factors of 42638 are 2, 21319. Prime factorization of 42638 in exponential form is:

42638 = 2¹ × 21319¹

Step-2: Prime Factorization of 42658

Prime factors of 42658 are 2, 7, 11, 277. Prime factorization of 42658 in exponential form is:

42658 = 2¹ × 7¹ × 11¹ × 277¹

Step-3: Factors of 42638

List of positive integer factors of 42638 that divides 42638 without a remainder.

1, 2, 21319

Step-4: Factors of 42658

List of positive integer factors of 42658 that divides 42638 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 277, 554, 1939, 3047, 3878, 6094, 21329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42638 and 42658. The biggest common factor number is the GCF number.
So the greatest common factor 42638 and 42658 is 2.

Also check out the Least Common Multiple of 42638 and 42658