What is the Greatest Common Factor of 13020 and 13030?

Greatest common factor (GCF) of 13020 and 13030 is 10.

GCF(13020,13030) = 10

We will now calculate the prime factors of 13020 and 13030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13020 and 13030.

How to find the GCF of 13020 and 13030?

We will first find the prime factorization of 13020 and 13030. After we will calculate the factors of 13020 and 13030 and find the biggest common factor number .

Step-1: Prime Factorization of 13020

Prime factors of 13020 are 2, 3, 5, 7, 31. Prime factorization of 13020 in exponential form is:

13020 = 2² × 3¹ × 5¹ × 7¹ × 31¹

Step-2: 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-3: Factors of 13020

List of positive integer factors of 13020 that divides 13020 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 31, 35, 42, 60, 62, 70, 84, 93, 105, 124, 140, 155, 186, 210, 217, 310, 372, 420, 434, 465, 620, 651, 868, 930, 1085, 1302, 1860, 2170, 2604, 3255, 4340, 6510

Step-4: Factors of 13030

List of positive integer factors of 13030 that divides 13020 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13020 and 13030. The biggest common factor number is the GCF number.
So the greatest common factor 13020 and 13030 is 10.

Also check out the Least Common Multiple of 13020 and 13030