What is the Greatest Common Factor of 83724 and 83730?

Greatest common factor (GCF) of 83724 and 83730 is 6.

GCF(83724,83730) = 6

We will now calculate the prime factors of 83724 and 83730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83724 and 83730.

How to find the GCF of 83724 and 83730?

We will first find the prime factorization of 83724 and 83730. After we will calculate the factors of 83724 and 83730 and find the biggest common factor number .

Step-1: Prime Factorization of 83724

Prime factors of 83724 are 2, 3, 6977. Prime factorization of 83724 in exponential form is:

83724 = 2² × 3¹ × 6977¹

Step-2: Prime Factorization of 83730

Prime factors of 83730 are 2, 3, 5, 2791. Prime factorization of 83730 in exponential form is:

83730 = 2¹ × 3¹ × 5¹ × 2791¹

Step-3: Factors of 83724

List of positive integer factors of 83724 that divides 83724 without a remainder.

1, 2, 3, 4, 6, 12, 6977, 13954, 20931, 27908, 41862

Step-4: Factors of 83730

List of positive integer factors of 83730 that divides 83724 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2791, 5582, 8373, 13955, 16746, 27910, 41865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83724 and 83730. The biggest common factor number is the GCF number.
So the greatest common factor 83724 and 83730 is 6.

Also check out the Least Common Multiple of 83724 and 83730