What is the Greatest Common Factor of 79041 and 79050?

Greatest common factor (GCF) of 79041 and 79050 is 3.

GCF(79041,79050) = 3

We will now calculate the prime factors of 79041 and 79050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79041 and 79050.

How to find the GCF of 79041 and 79050?

We will first find the prime factorization of 79041 and 79050. After we will calculate the factors of 79041 and 79050 and find the biggest common factor number .

Step-1: Prime Factorization of 79041

Prime factors of 79041 are 3, 26347. Prime factorization of 79041 in exponential form is:

79041 = 3¹ × 26347¹

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 79041

List of positive integer factors of 79041 that divides 79041 without a remainder.

1, 3, 26347

Step-4: Factors of 79050

List of positive integer factors of 79050 that divides 79041 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 79041 and 79050. The biggest common factor number is the GCF number.
So the greatest common factor 79041 and 79050 is 3.

Also check out the Least Common Multiple of 79041 and 79050