What is the Greatest Common Factor of 83712 and 83730?

Greatest common factor (GCF) of 83712 and 83730 is 6.

GCF(83712,83730) = 6

We will now calculate the prime factors of 83712 and 83730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83712 and 83730.

How to find the GCF of 83712 and 83730?

We will first find the prime factorization of 83712 and 83730. After we will calculate the factors of 83712 and 83730 and find the biggest common factor number .

Step-1: Prime Factorization of 83712

Prime factors of 83712 are 2, 3, 109. Prime factorization of 83712 in exponential form is:

83712 = 2⁸ × 3¹ × 109¹

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 83712

List of positive integer factors of 83712 that divides 83712 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 109, 128, 192, 218, 256, 327, 384, 436, 654, 768, 872, 1308, 1744, 2616, 3488, 5232, 6976, 10464, 13952, 20928, 27904, 41856

Step-4: Factors of 83730

List of positive integer factors of 83730 that divides 83712 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 83712 and 83730. The biggest common factor number is the GCF number.
So the greatest common factor 83712 and 83730 is 6.

Also check out the Least Common Multiple of 83712 and 83730