What is the Greatest Common Factor of 79050 and 79065?

Greatest common factor (GCF) of 79050 and 79065 is 15.

GCF(79050,79065) = 15

We will now calculate the prime factors of 79050 and 79065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79050 and 79065.

How to find the GCF of 79050 and 79065?

We will first find the prime factorization of 79050 and 79065. After we will calculate the factors of 79050 and 79065 and find the biggest common factor number .

Step-1: Prime Factorization of 79050

Prime factors of 79050 are 2, 3, 5, 17, 31. Prime factorization of 79050 in exponential form is:

79050 = 2¹ × 3¹ × 5² × 17¹ × 31¹

Step-2: Prime Factorization of 79065

Prime factors of 79065 are 3, 5, 7, 251. Prime factorization of 79065 in exponential form is:

79065 = 3² × 5¹ × 7¹ × 251¹

Step-3: Factors of 79050

List of positive integer factors of 79050 that divides 79050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 31, 34, 50, 51, 62, 75, 85, 93, 102, 150, 155, 170, 186, 255, 310, 425, 465, 510, 527, 775, 850, 930, 1054, 1275, 1550, 1581, 2325, 2550, 2635, 3162, 4650, 5270, 7905, 13175, 15810, 26350, 39525

Step-4: Factors of 79065

List of positive integer factors of 79065 that divides 79050 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 251, 315, 753, 1255, 1757, 2259, 3765, 5271, 8785, 11295, 15813, 26355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79050 and 79065. The biggest common factor number is the GCF number.
So the greatest common factor 79050 and 79065 is 15.

Also check out the Least Common Multiple of 79050 and 79065