What is the Greatest Common Factor of 84464 and 84475?

Greatest common factor (GCF) of 84464 and 84475 is 1.

GCF(84464,84475) = 1

We will now calculate the prime factors of 84464 and 84475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84464 and 84475.

How to find the GCF of 84464 and 84475?

We will first find the prime factorization of 84464 and 84475. After we will calculate the factors of 84464 and 84475 and find the biggest common factor number .

Step-1: Prime Factorization of 84464

Prime factors of 84464 are 2, 5279. Prime factorization of 84464 in exponential form is:

84464 = 2⁴ × 5279¹

Step-2: Prime Factorization of 84475

Prime factors of 84475 are 5, 31, 109. Prime factorization of 84475 in exponential form is:

84475 = 5² × 31¹ × 109¹

Step-3: Factors of 84464

List of positive integer factors of 84464 that divides 84464 without a remainder.

1, 2, 4, 8, 16, 5279, 10558, 21116, 42232

Step-4: Factors of 84475

List of positive integer factors of 84475 that divides 84464 without a remainder.

1, 5, 25, 31, 109, 155, 545, 775, 2725, 3379, 16895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84464 and 84475. The biggest common factor number is the GCF number.
So the greatest common factor 84464 and 84475 is 1.

Also check out the Least Common Multiple of 84464 and 84475