What is the Greatest Common Factor of 84496 and 84504?

Greatest common factor (GCF) of 84496 and 84504 is 8.

GCF(84496,84504) = 8

We will now calculate the prime factors of 84496 and 84504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84496 and 84504.

How to find the GCF of 84496 and 84504?

We will first find the prime factorization of 84496 and 84504. After we will calculate the factors of 84496 and 84504 and find the biggest common factor number .

Step-1: Prime Factorization of 84496

Prime factors of 84496 are 2, 5281. Prime factorization of 84496 in exponential form is:

84496 = 2⁴ × 5281¹

Step-2: Prime Factorization of 84504

Prime factors of 84504 are 2, 3, 7, 503. Prime factorization of 84504 in exponential form is:

84504 = 2³ × 3¹ × 7¹ × 503¹

Step-3: Factors of 84496

List of positive integer factors of 84496 that divides 84496 without a remainder.

1, 2, 4, 8, 16, 5281, 10562, 21124, 42248

Step-4: Factors of 84504

List of positive integer factors of 84504 that divides 84496 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 503, 1006, 1509, 2012, 3018, 3521, 4024, 6036, 7042, 10563, 12072, 14084, 21126, 28168, 42252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84496 and 84504. The biggest common factor number is the GCF number.
So the greatest common factor 84496 and 84504 is 8.

Also check out the Least Common Multiple of 84496 and 84504