What is the Greatest Common Factor of 13050 and 13070?

Greatest common factor (GCF) of 13050 and 13070 is 10.

GCF(13050,13070) = 10

We will now calculate the prime factors of 13050 and 13070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13050 and 13070.

How to find the GCF of 13050 and 13070?

We will first find the prime factorization of 13050 and 13070. After we will calculate the factors of 13050 and 13070 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13070

Prime factors of 13070 are 2, 5, 1307. Prime factorization of 13070 in exponential form is:

13070 = 2¹ × 5¹ × 1307¹

Step-3: Factors of 13050

List of positive integer factors of 13050 that divides 13050 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

Step-4: Factors of 13070

List of positive integer factors of 13070 that divides 13050 without a remainder.

1, 2, 5, 10, 1307, 2614, 6535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13050 and 13070. The biggest common factor number is the GCF number.
So the greatest common factor 13050 and 13070 is 10.

Also check out the Least Common Multiple of 13050 and 13070