What is the Greatest Common Factor of 42478 and 42492?

Greatest common factor (GCF) of 42478 and 42492 is 2.

GCF(42478,42492) = 2

We will now calculate the prime factors of 42478 and 42492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42478 and 42492.

How to find the GCF of 42478 and 42492?

We will first find the prime factorization of 42478 and 42492. After we will calculate the factors of 42478 and 42492 and find the biggest common factor number .

Step-1: Prime Factorization of 42478

Prime factors of 42478 are 2, 67, 317. Prime factorization of 42478 in exponential form is:

42478 = 2¹ × 67¹ × 317¹

Step-2: Prime Factorization of 42492

Prime factors of 42492 are 2, 3, 3541. Prime factorization of 42492 in exponential form is:

42492 = 2² × 3¹ × 3541¹

Step-3: Factors of 42478

List of positive integer factors of 42478 that divides 42478 without a remainder.

1, 2, 67, 134, 317, 634, 21239

Step-4: Factors of 42492

List of positive integer factors of 42492 that divides 42478 without a remainder.

1, 2, 3, 4, 6, 12, 3541, 7082, 10623, 14164, 21246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42478 and 42492. The biggest common factor number is the GCF number.
So the greatest common factor 42478 and 42492 is 2.

Also check out the Least Common Multiple of 42478 and 42492