What is the Greatest Common Factor of 84475 and 84495?

Greatest common factor (GCF) of 84475 and 84495 is 5.

GCF(84475,84495) = 5

We will now calculate the prime factors of 84475 and 84495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84475 and 84495.

How to find the GCF of 84475 and 84495?

We will first find the prime factorization of 84475 and 84495. After we will calculate the factors of 84475 and 84495 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84495

Prime factors of 84495 are 3, 5, 43, 131. Prime factorization of 84495 in exponential form is:

84495 = 3¹ × 5¹ × 43¹ × 131¹

Step-3: Factors of 84475

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

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

Step-4: Factors of 84495

List of positive integer factors of 84495 that divides 84475 without a remainder.

1, 3, 5, 15, 43, 129, 131, 215, 393, 645, 655, 1965, 5633, 16899, 28165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84475 and 84495. The biggest common factor number is the GCF number.
So the greatest common factor 84475 and 84495 is 5.

Also check out the Least Common Multiple of 84475 and 84495