What is the Greatest Common Factor of 42086 and 42102?

Greatest common factor (GCF) of 42086 and 42102 is 2.

GCF(42086,42102) = 2

We will now calculate the prime factors of 42086 and 42102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42086 and 42102.

How to find the GCF of 42086 and 42102?

We will first find the prime factorization of 42086 and 42102. After we will calculate the factors of 42086 and 42102 and find the biggest common factor number .

Step-1: Prime Factorization of 42086

Prime factors of 42086 are 2, 11, 1913. Prime factorization of 42086 in exponential form is:

42086 = 2¹ × 11¹ × 1913¹

Step-2: 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-3: Factors of 42086

List of positive integer factors of 42086 that divides 42086 without a remainder.

1, 2, 11, 22, 1913, 3826, 21043

Step-4: Factors of 42102

List of positive integer factors of 42102 that divides 42086 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42086 and 42102. The biggest common factor number is the GCF number.
So the greatest common factor 42086 and 42102 is 2.

Also check out the Least Common Multiple of 42086 and 42102