What is the Greatest Common Factor of 72764 and 72780?

Greatest common factor (GCF) of 72764 and 72780 is 4.

GCF(72764,72780) = 4

We will now calculate the prime factors of 72764 and 72780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72764 and 72780.

How to find the GCF of 72764 and 72780?

We will first find the prime factorization of 72764 and 72780. After we will calculate the factors of 72764 and 72780 and find the biggest common factor number .

Step-1: Prime Factorization of 72764

Prime factors of 72764 are 2, 18191. Prime factorization of 72764 in exponential form is:

72764 = 2² × 18191¹

Step-2: Prime Factorization of 72780

Prime factors of 72780 are 2, 3, 5, 1213. Prime factorization of 72780 in exponential form is:

72780 = 2² × 3¹ × 5¹ × 1213¹

Step-3: Factors of 72764

List of positive integer factors of 72764 that divides 72764 without a remainder.

1, 2, 4, 18191, 36382

Step-4: Factors of 72780

List of positive integer factors of 72780 that divides 72764 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1213, 2426, 3639, 4852, 6065, 7278, 12130, 14556, 18195, 24260, 36390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72764 and 72780. The biggest common factor number is the GCF number.
So the greatest common factor 72764 and 72780 is 4.

Also check out the Least Common Multiple of 72764 and 72780