What is the Greatest Common Factor of 72684 and 72702?

Greatest common factor (GCF) of 72684 and 72702 is 18.

GCF(72684,72702) = 18

We will now calculate the prime factors of 72684 and 72702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72684 and 72702.

How to find the GCF of 72684 and 72702?

We will first find the prime factorization of 72684 and 72702. After we will calculate the factors of 72684 and 72702 and find the biggest common factor number .

Step-1: Prime Factorization of 72684

Prime factors of 72684 are 2, 3, 673. Prime factorization of 72684 in exponential form is:

72684 = 2² × 3³ × 673¹

Step-2: Prime Factorization of 72702

Prime factors of 72702 are 2, 3, 7, 577. Prime factorization of 72702 in exponential form is:

72702 = 2¹ × 3² × 7¹ × 577¹

Step-3: Factors of 72684

List of positive integer factors of 72684 that divides 72684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 673, 1346, 2019, 2692, 4038, 6057, 8076, 12114, 18171, 24228, 36342

Step-4: Factors of 72702

List of positive integer factors of 72702 that divides 72684 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 577, 1154, 1731, 3462, 4039, 5193, 8078, 10386, 12117, 24234, 36351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72684 and 72702. The biggest common factor number is the GCF number.
So the greatest common factor 72684 and 72702 is 18.

Also check out the Least Common Multiple of 72684 and 72702