What is the Greatest Common Factor of 84126 and 84134?

Greatest common factor (GCF) of 84126 and 84134 is 2.

GCF(84126,84134) = 2

We will now calculate the prime factors of 84126 and 84134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84126 and 84134.

How to find the GCF of 84126 and 84134?

We will first find the prime factorization of 84126 and 84134. After we will calculate the factors of 84126 and 84134 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 84134

Prime factors of 84134 are 2, 23, 31, 59. Prime factorization of 84134 in exponential form is:

84134 = 2¹ × 23¹ × 31¹ × 59¹

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 84134

List of positive integer factors of 84134 that divides 84126 without a remainder.

1, 2, 23, 31, 46, 59, 62, 118, 713, 1357, 1426, 1829, 2714, 3658, 42067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84126 and 84134. The biggest common factor number is the GCF number.
So the greatest common factor 84126 and 84134 is 2.

Also check out the Least Common Multiple of 84126 and 84134