What is the Greatest Common Factor of 72770 and 72780?

Greatest common factor (GCF) of 72770 and 72780 is 10.

GCF(72770,72780) = 10

We will now calculate the prime factors of 72770 and 72780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72770 and 72780.

How to find the GCF of 72770 and 72780?

We will first find the prime factorization of 72770 and 72780. After we will calculate the factors of 72770 and 72780 and find the biggest common factor number .

Step-1: Prime Factorization of 72770

Prime factors of 72770 are 2, 5, 19, 383. Prime factorization of 72770 in exponential form is:

72770 = 2¹ × 5¹ × 19¹ × 383¹

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 72770

List of positive integer factors of 72770 that divides 72770 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 383, 766, 1915, 3830, 7277, 14554, 36385

Step-4: Factors of 72780

List of positive integer factors of 72780 that divides 72770 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 72770 and 72780. The biggest common factor number is the GCF number.
So the greatest common factor 72770 and 72780 is 10.

Also check out the Least Common Multiple of 72770 and 72780