What is the Greatest Common Factor of 79030 and 79050?

Greatest common factor (GCF) of 79030 and 79050 is 10.

GCF(79030,79050) = 10

We will now calculate the prime factors of 79030 and 79050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79030 and 79050.

How to find the GCF of 79030 and 79050?

We will first find the prime factorization of 79030 and 79050. After we will calculate the factors of 79030 and 79050 and find the biggest common factor number .

Step-1: Prime Factorization of 79030

Prime factors of 79030 are 2, 5, 7, 1129. Prime factorization of 79030 in exponential form is:

79030 = 2¹ × 5¹ × 7¹ × 1129¹

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 79030

List of positive integer factors of 79030 that divides 79030 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1129, 2258, 5645, 7903, 11290, 15806, 39515

Step-4: Factors of 79050

List of positive integer factors of 79050 that divides 79030 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 79030 and 79050. The biggest common factor number is the GCF number.
So the greatest common factor 79030 and 79050 is 10.

Also check out the Least Common Multiple of 79030 and 79050