What is the Greatest Common Factor of 42154 and 42168?

Greatest common factor (GCF) of 42154 and 42168 is 14.

GCF(42154,42168) = 14

We will now calculate the prime factors of 42154 and 42168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42154 and 42168.

How to find the GCF of 42154 and 42168?

We will first find the prime factorization of 42154 and 42168. After we will calculate the factors of 42154 and 42168 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 42168

Prime factors of 42168 are 2, 3, 7, 251. Prime factorization of 42168 in exponential form is:

42168 = 2³ × 3¹ × 7¹ × 251¹

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 42168

List of positive integer factors of 42168 that divides 42154 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 251, 502, 753, 1004, 1506, 1757, 2008, 3012, 3514, 5271, 6024, 7028, 10542, 14056, 21084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42154 and 42168. The biggest common factor number is the GCF number.
So the greatest common factor 42154 and 42168 is 14.

Also check out the Least Common Multiple of 42154 and 42168