What is the Greatest Common Factor of 79050 and 79059?

Greatest common factor (GCF) of 79050 and 79059 is 3.

GCF(79050,79059) = 3

We will now calculate the prime factors of 79050 and 79059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79050 and 79059.

How to find the GCF of 79050 and 79059?

We will first find the prime factorization of 79050 and 79059. After we will calculate the factors of 79050 and 79059 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 79059

Prime factors of 79059 are 3, 19, 73. Prime factorization of 79059 in exponential form is:

79059 = 3¹ × 19² × 73¹

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 79059

List of positive integer factors of 79059 that divides 79050 without a remainder.

1, 3, 19, 57, 73, 219, 361, 1083, 1387, 4161, 26353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79050 and 79059. The biggest common factor number is the GCF number.
So the greatest common factor 79050 and 79059 is 3.

Also check out the Least Common Multiple of 79050 and 79059