What is the Greatest Common Factor of 42164 and 42176?

Greatest common factor (GCF) of 42164 and 42176 is 4.

GCF(42164,42176) = 4

We will now calculate the prime factors of 42164 and 42176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42164 and 42176.

How to find the GCF of 42164 and 42176?

We will first find the prime factorization of 42164 and 42176. After we will calculate the factors of 42164 and 42176 and find the biggest common factor number .

Step-1: Prime Factorization of 42164

Prime factors of 42164 are 2, 83, 127. Prime factorization of 42164 in exponential form is:

42164 = 2² × 83¹ × 127¹

Step-2: Prime Factorization of 42176

Prime factors of 42176 are 2, 659. Prime factorization of 42176 in exponential form is:

42176 = 2⁶ × 659¹

Step-3: Factors of 42164

List of positive integer factors of 42164 that divides 42164 without a remainder.

1, 2, 4, 83, 127, 166, 254, 332, 508, 10541, 21082

Step-4: Factors of 42176

List of positive integer factors of 42176 that divides 42164 without a remainder.

1, 2, 4, 8, 16, 32, 64, 659, 1318, 2636, 5272, 10544, 21088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42164 and 42176. The biggest common factor number is the GCF number.
So the greatest common factor 42164 and 42176 is 4.

Also check out the Least Common Multiple of 42164 and 42176