What is the Greatest Common Factor of 70584 and 70599?

Greatest common factor (GCF) of 70584 and 70599 is 3.

GCF(70584,70599) = 3

We will now calculate the prime factors of 70584 and 70599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70584 and 70599.

How to find the GCF of 70584 and 70599?

We will first find the prime factorization of 70584 and 70599. After we will calculate the factors of 70584 and 70599 and find the biggest common factor number .

Step-1: Prime Factorization of 70584

Prime factors of 70584 are 2, 3, 17, 173. Prime factorization of 70584 in exponential form is:

70584 = 2³ × 3¹ × 17¹ × 173¹

Step-2: Prime Factorization of 70599

Prime factors of 70599 are 3, 101, 233. Prime factorization of 70599 in exponential form is:

70599 = 3¹ × 101¹ × 233¹

Step-3: Factors of 70584

List of positive integer factors of 70584 that divides 70584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 173, 204, 346, 408, 519, 692, 1038, 1384, 2076, 2941, 4152, 5882, 8823, 11764, 17646, 23528, 35292

Step-4: Factors of 70599

List of positive integer factors of 70599 that divides 70584 without a remainder.

1, 3, 101, 233, 303, 699, 23533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70584 and 70599. The biggest common factor number is the GCF number.
So the greatest common factor 70584 and 70599 is 3.

Also check out the Least Common Multiple of 70584 and 70599