What is the Greatest Common Factor of 79035 and 79050?

Greatest common factor (GCF) of 79035 and 79050 is 15.

GCF(79035,79050) = 15

We will now calculate the prime factors of 79035 and 79050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79035 and 79050.

How to find the GCF of 79035 and 79050?

We will first find the prime factorization of 79035 and 79050. After we will calculate the factors of 79035 and 79050 and find the biggest common factor number .

Step-1: Prime Factorization of 79035

Prime factors of 79035 are 3, 5, 11, 479. Prime factorization of 79035 in exponential form is:

79035 = 3¹ × 5¹ × 11¹ × 479¹

Step-2: 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-3: Factors of 79035

List of positive integer factors of 79035 that divides 79035 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 479, 1437, 2395, 5269, 7185, 15807, 26345

Step-4: Factors of 79050

List of positive integer factors of 79050 that divides 79035 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79035 and 79050. The biggest common factor number is the GCF number.
So the greatest common factor 79035 and 79050 is 15.

Also check out the Least Common Multiple of 79035 and 79050