What is the Greatest Common Factor of 79050 and 79070?

Greatest common factor (GCF) of 79050 and 79070 is 10.

GCF(79050,79070) = 10

We will now calculate the prime factors of 79050 and 79070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79050 and 79070.

How to find the GCF of 79050 and 79070?

We will first find the prime factorization of 79050 and 79070. After we will calculate the factors of 79050 and 79070 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 79070

Prime factors of 79070 are 2, 5, 7907. Prime factorization of 79070 in exponential form is:

79070 = 2¹ × 5¹ × 7907¹

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 79070

List of positive integer factors of 79070 that divides 79050 without a remainder.

1, 2, 5, 10, 7907, 15814, 39535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79050 and 79070. The biggest common factor number is the GCF number.
So the greatest common factor 79050 and 79070 is 10.

Also check out the Least Common Multiple of 79050 and 79070