What is the Greatest Common Factor of 84496 and 84516?

Greatest common factor (GCF) of 84496 and 84516 is 4.

GCF(84496,84516) = 4

We will now calculate the prime factors of 84496 and 84516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84496 and 84516.

How to find the GCF of 84496 and 84516?

We will first find the prime factorization of 84496 and 84516. After we will calculate the factors of 84496 and 84516 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 84516

Prime factors of 84516 are 2, 3, 7043. Prime factorization of 84516 in exponential form is:

84516 = 2² × 3¹ × 7043¹

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 84516

List of positive integer factors of 84516 that divides 84496 without a remainder.

1, 2, 3, 4, 6, 12, 7043, 14086, 21129, 28172, 42258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84496 and 84516. The biggest common factor number is the GCF number.
So the greatest common factor 84496 and 84516 is 4.

Also check out the Least Common Multiple of 84496 and 84516