What is the Greatest Common Factor of 42492 and 42496?

Greatest common factor (GCF) of 42492 and 42496 is 4.

GCF(42492,42496) = 4

We will now calculate the prime factors of 42492 and 42496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42492 and 42496.

How to find the GCF of 42492 and 42496?

We will first find the prime factorization of 42492 and 42496. After we will calculate the factors of 42492 and 42496 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42496

Prime factors of 42496 are 2, 83. Prime factorization of 42496 in exponential form is:

42496 = 2⁹ × 83¹

Step-3: Factors of 42492

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

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

Step-4: Factors of 42496

List of positive integer factors of 42496 that divides 42492 without a remainder.

1, 2, 4, 8, 16, 32, 64, 83, 128, 166, 256, 332, 512, 664, 1328, 2656, 5312, 10624, 21248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42492 and 42496. The biggest common factor number is the GCF number.
So the greatest common factor 42492 and 42496 is 4.

Also check out the Least Common Multiple of 42492 and 42496