What is the Greatest Common Factor of 42154 and 42164?

Greatest common factor (GCF) of 42154 and 42164 is 2.

GCF(42154,42164) = 2

We will now calculate the prime factors of 42154 and 42164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42154 and 42164.

How to find the GCF of 42154 and 42164?

We will first find the prime factorization of 42154 and 42164. After we will calculate the factors of 42154 and 42164 and find the biggest common factor number .

Step-1: Prime Factorization of 42154

Prime factors of 42154 are 2, 7, 3011. Prime factorization of 42154 in exponential form is:

42154 = 2¹ × 7¹ × 3011¹

Step-2: 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-3: Factors of 42154

List of positive integer factors of 42154 that divides 42154 without a remainder.

1, 2, 7, 14, 3011, 6022, 21077

Step-4: Factors of 42164

List of positive integer factors of 42164 that divides 42154 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42154 and 42164. The biggest common factor number is the GCF number.
So the greatest common factor 42154 and 42164 is 2.

Also check out the Least Common Multiple of 42154 and 42164