What is the Greatest Common Factor of 13030 and 13050?

Greatest common factor (GCF) of 13030 and 13050 is 10.

GCF(13030,13050) = 10

We will now calculate the prime factors of 13030 and 13050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13030 and 13050.

How to find the GCF of 13030 and 13050?

We will first find the prime factorization of 13030 and 13050. After we will calculate the factors of 13030 and 13050 and find the biggest common factor number .

Step-1: Prime Factorization of 13030

Prime factors of 13030 are 2, 5, 1303. Prime factorization of 13030 in exponential form is:

13030 = 2¹ × 5¹ × 1303¹

Step-2: Prime Factorization of 13050

Prime factors of 13050 are 2, 3, 5, 29. Prime factorization of 13050 in exponential form is:

13050 = 2¹ × 3² × 5² × 29¹

Step-3: Factors of 13030

List of positive integer factors of 13030 that divides 13030 without a remainder.

1, 2, 5, 10, 1303, 2606, 6515

Step-4: Factors of 13050

List of positive integer factors of 13050 that divides 13030 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 29, 30, 45, 50, 58, 75, 87, 90, 145, 150, 174, 225, 261, 290, 435, 450, 522, 725, 870, 1305, 1450, 2175, 2610, 4350, 6525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13030 and 13050. The biggest common factor number is the GCF number.
So the greatest common factor 13030 and 13050 is 10.

Also check out the Least Common Multiple of 13030 and 13050