What is the Greatest Common Factor of 42154 and 42159?

Greatest common factor (GCF) of 42154 and 42159 is 1.

GCF(42154,42159) = 1

We will now calculate the prime factors of 42154 and 42159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42154 and 42159.

How to find the GCF of 42154 and 42159?

We will first find the prime factorization of 42154 and 42159. After we will calculate the factors of 42154 and 42159 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 42159

Prime factors of 42159 are 3, 13, 23, 47. Prime factorization of 42159 in exponential form is:

42159 = 3¹ × 13¹ × 23¹ × 47¹

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 42159

List of positive integer factors of 42159 that divides 42154 without a remainder.

1, 3, 13, 23, 39, 47, 69, 141, 299, 611, 897, 1081, 1833, 3243, 14053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42154 and 42159. The biggest common factor number is the GCF number.
So the greatest common factor 42154 and 42159 is 1.

Also check out the Least Common Multiple of 42154 and 42159