What is the Greatest Common Factor of 84724 and 84730?

Greatest common factor (GCF) of 84724 and 84730 is 2.

GCF(84724,84730) = 2

We will now calculate the prime factors of 84724 and 84730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84724 and 84730.

How to find the GCF of 84724 and 84730?

We will first find the prime factorization of 84724 and 84730. After we will calculate the factors of 84724 and 84730 and find the biggest common factor number .

Step-1: Prime Factorization of 84724

Prime factors of 84724 are 2, 59, 359. Prime factorization of 84724 in exponential form is:

84724 = 2² × 59¹ × 359¹

Step-2: Prime Factorization of 84730

Prime factors of 84730 are 2, 5, 37, 229. Prime factorization of 84730 in exponential form is:

84730 = 2¹ × 5¹ × 37¹ × 229¹

Step-3: Factors of 84724

List of positive integer factors of 84724 that divides 84724 without a remainder.

1, 2, 4, 59, 118, 236, 359, 718, 1436, 21181, 42362

Step-4: Factors of 84730

List of positive integer factors of 84730 that divides 84724 without a remainder.

1, 2, 5, 10, 37, 74, 185, 229, 370, 458, 1145, 2290, 8473, 16946, 42365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84724 and 84730. The biggest common factor number is the GCF number.
So the greatest common factor 84724 and 84730 is 2.

Also check out the Least Common Multiple of 84724 and 84730