What is the Greatest Common Factor of 84112 and 84126?

Greatest common factor (GCF) of 84112 and 84126 is 14.

GCF(84112,84126) = 14

We will now calculate the prime factors of 84112 and 84126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84112 and 84126.

How to find the GCF of 84112 and 84126?

We will first find the prime factorization of 84112 and 84126. After we will calculate the factors of 84112 and 84126 and find the biggest common factor number .

Step-1: Prime Factorization of 84112

Prime factors of 84112 are 2, 7, 751. Prime factorization of 84112 in exponential form is:

84112 = 2⁴ × 7¹ × 751¹

Step-2: 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-3: Factors of 84112

List of positive integer factors of 84112 that divides 84112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 751, 1502, 3004, 5257, 6008, 10514, 12016, 21028, 42056

Step-4: Factors of 84126

List of positive integer factors of 84126 that divides 84112 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84112 and 84126. The biggest common factor number is the GCF number.
So the greatest common factor 84112 and 84126 is 14.

Also check out the Least Common Multiple of 84112 and 84126