What is the Greatest Common Factor of 84107 and 84112?

Greatest common factor (GCF) of 84107 and 84112 is 1.

GCF(84107,84112) = 1

We will now calculate the prime factors of 84107 and 84112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84107 and 84112.

How to find the GCF of 84107 and 84112?

We will first find the prime factorization of 84107 and 84112. After we will calculate the factors of 84107 and 84112 and find the biggest common factor number .

Step-1: Prime Factorization of 84107

Prime factors of 84107 are 151, 557. Prime factorization of 84107 in exponential form is:

84107 = 151¹ × 557¹

Step-2: 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-3: Factors of 84107

List of positive integer factors of 84107 that divides 84107 without a remainder.

1, 151, 557

Step-4: Factors of 84112

List of positive integer factors of 84112 that divides 84107 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84107 and 84112. The biggest common factor number is the GCF number.
So the greatest common factor 84107 and 84112 is 1.

Also check out the Least Common Multiple of 84107 and 84112