What is the Greatest Common Factor of 79050 and 79060?

Greatest common factor (GCF) of 79050 and 79060 is 10.

GCF(79050,79060) = 10

We will now calculate the prime factors of 79050 and 79060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79050 and 79060.

How to find the GCF of 79050 and 79060?

We will first find the prime factorization of 79050 and 79060. After we will calculate the factors of 79050 and 79060 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 79060

Prime factors of 79060 are 2, 5, 59, 67. Prime factorization of 79060 in exponential form is:

79060 = 2² × 5¹ × 59¹ × 67¹

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 79060

List of positive integer factors of 79060 that divides 79050 without a remainder.

1, 2, 4, 5, 10, 20, 59, 67, 118, 134, 236, 268, 295, 335, 590, 670, 1180, 1340, 3953, 7906, 15812, 19765, 39530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79050 and 79060. The biggest common factor number is the GCF number.
So the greatest common factor 79050 and 79060 is 10.

Also check out the Least Common Multiple of 79050 and 79060