What is the Greatest Common Factor of 13020 and 13025?

Greatest common factor (GCF) of 13020 and 13025 is 5.

GCF(13020,13025) = 5

We will now calculate the prime factors of 13020 and 13025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13020 and 13025.

How to find the GCF of 13020 and 13025?

We will first find the prime factorization of 13020 and 13025. After we will calculate the factors of 13020 and 13025 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 13025

Prime factors of 13025 are 5, 521. Prime factorization of 13025 in exponential form is:

13025 = 5² × 521¹

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 13025

List of positive integer factors of 13025 that divides 13020 without a remainder.

1, 5, 25, 521, 2605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13020 and 13025. The biggest common factor number is the GCF number.
So the greatest common factor 13020 and 13025 is 5.

Also check out the Least Common Multiple of 13020 and 13025