What is the Greatest Common Factor of 84112 and 84131?

Greatest common factor (GCF) of 84112 and 84131 is 1.

GCF(84112,84131) = 1

We will now calculate the prime factors of 84112 and 84131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84112 and 84131.

How to find the GCF of 84112 and 84131?

We will first find the prime factorization of 84112 and 84131. After we will calculate the factors of 84112 and 84131 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 84131

Prime factors of 84131 are 84131. Prime factorization of 84131 in exponential form is:

84131 = 84131¹

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 84131

List of positive integer factors of 84131 that divides 84112 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84112 and 84131. The biggest common factor number is the GCF number.
So the greatest common factor 84112 and 84131 is 1.

Also check out the Least Common Multiple of 84112 and 84131