What is the Greatest Common Factor of 42102 and 42117?

Greatest common factor (GCF) of 42102 and 42117 is 3.

GCF(42102,42117) = 3

We will now calculate the prime factors of 42102 and 42117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42102 and 42117.

How to find the GCF of 42102 and 42117?

We will first find the prime factorization of 42102 and 42117. After we will calculate the factors of 42102 and 42117 and find the biggest common factor number .

Step-1: Prime Factorization of 42102

Prime factors of 42102 are 2, 3, 2339. Prime factorization of 42102 in exponential form is:

42102 = 2¹ × 3² × 2339¹

Step-2: Prime Factorization of 42117

Prime factors of 42117 are 3, 101, 139. Prime factorization of 42117 in exponential form is:

42117 = 3¹ × 101¹ × 139¹

Step-3: Factors of 42102

List of positive integer factors of 42102 that divides 42102 without a remainder.

1, 2, 3, 6, 9, 18, 2339, 4678, 7017, 14034, 21051

Step-4: Factors of 42117

List of positive integer factors of 42117 that divides 42102 without a remainder.

1, 3, 101, 139, 303, 417, 14039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42102 and 42117. The biggest common factor number is the GCF number.
So the greatest common factor 42102 and 42117 is 3.

Also check out the Least Common Multiple of 42102 and 42117