What is the Greatest Common Factor of 70644 and 70659?

Greatest common factor (GCF) of 70644 and 70659 is 3.

GCF(70644,70659) = 3

We will now calculate the prime factors of 70644 and 70659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70644 and 70659.

How to find the GCF of 70644 and 70659?

We will first find the prime factorization of 70644 and 70659. After we will calculate the factors of 70644 and 70659 and find the biggest common factor number .

Step-1: Prime Factorization of 70644

Prime factors of 70644 are 2, 3, 7, 29. Prime factorization of 70644 in exponential form is:

70644 = 2² × 3¹ × 7¹ × 29²

Step-2: Prime Factorization of 70659

Prime factors of 70659 are 3, 2617. Prime factorization of 70659 in exponential form is:

70659 = 3³ × 2617¹

Step-3: Factors of 70644

List of positive integer factors of 70644 that divides 70644 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 841, 1218, 1682, 2436, 2523, 3364, 5046, 5887, 10092, 11774, 17661, 23548, 35322

Step-4: Factors of 70659

List of positive integer factors of 70659 that divides 70644 without a remainder.

1, 3, 9, 27, 2617, 7851, 23553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70644 and 70659. The biggest common factor number is the GCF number.
So the greatest common factor 70644 and 70659 is 3.

Also check out the Least Common Multiple of 70644 and 70659