What is the Greatest Common Factor of 42654 and 42674?

Greatest common factor (GCF) of 42654 and 42674 is 2.

GCF(42654,42674) = 2

We will now calculate the prime factors of 42654 and 42674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42654 and 42674.

How to find the GCF of 42654 and 42674?

We will first find the prime factorization of 42654 and 42674. After we will calculate the factors of 42654 and 42674 and find the biggest common factor number .

Step-1: Prime Factorization of 42654

Prime factors of 42654 are 2, 3, 7109. Prime factorization of 42654 in exponential form is:

42654 = 2¹ × 3¹ × 7109¹

Step-2: Prime Factorization of 42674

Prime factors of 42674 are 2, 19, 1123. Prime factorization of 42674 in exponential form is:

42674 = 2¹ × 19¹ × 1123¹

Step-3: Factors of 42654

List of positive integer factors of 42654 that divides 42654 without a remainder.

1, 2, 3, 6, 7109, 14218, 21327

Step-4: Factors of 42674

List of positive integer factors of 42674 that divides 42654 without a remainder.

1, 2, 19, 38, 1123, 2246, 21337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42654 and 42674. The biggest common factor number is the GCF number.
So the greatest common factor 42654 and 42674 is 2.

Also check out the Least Common Multiple of 42654 and 42674