What is the Greatest Common Factor of 84126 and 84142?

Greatest common factor (GCF) of 84126 and 84142 is 2.

GCF(84126,84142) = 2

We will now calculate the prime factors of 84126 and 84142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84126 and 84142.

How to find the GCF of 84126 and 84142?

We will first find the prime factorization of 84126 and 84142. After we will calculate the factors of 84126 and 84142 and find the biggest common factor number .

Step-1: Prime Factorization of 84126

Prime factors of 84126 are 2, 3, 7, 2003. Prime factorization of 84126 in exponential form is:

84126 = 2¹ × 3¹ × 7¹ × 2003¹

Step-2: Prime Factorization of 84142

Prime factors of 84142 are 2, 42071. Prime factorization of 84142 in exponential form is:

84142 = 2¹ × 42071¹

Step-3: Factors of 84126

List of positive integer factors of 84126 that divides 84126 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2003, 4006, 6009, 12018, 14021, 28042, 42063

Step-4: Factors of 84142

List of positive integer factors of 84142 that divides 84126 without a remainder.

1, 2, 42071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84126 and 84142. The biggest common factor number is the GCF number.
So the greatest common factor 84126 and 84142 is 2.

Also check out the Least Common Multiple of 84126 and 84142