What is the Greatest Common Factor of 13452 and 13460?

Greatest common factor (GCF) of 13452 and 13460 is 4.

GCF(13452,13460) = 4

We will now calculate the prime factors of 13452 and 13460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13452 and 13460.

How to find the GCF of 13452 and 13460?

We will first find the prime factorization of 13452 and 13460. After we will calculate the factors of 13452 and 13460 and find the biggest common factor number .

Step-1: Prime Factorization of 13452

Prime factors of 13452 are 2, 3, 19, 59. Prime factorization of 13452 in exponential form is:

13452 = 2² × 3¹ × 19¹ × 59¹

Step-2: Prime Factorization of 13460

Prime factors of 13460 are 2, 5, 673. Prime factorization of 13460 in exponential form is:

13460 = 2² × 5¹ × 673¹

Step-3: Factors of 13452

List of positive integer factors of 13452 that divides 13452 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 59, 76, 114, 118, 177, 228, 236, 354, 708, 1121, 2242, 3363, 4484, 6726

Step-4: Factors of 13460

List of positive integer factors of 13460 that divides 13452 without a remainder.

1, 2, 4, 5, 10, 20, 673, 1346, 2692, 3365, 6730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13452 and 13460. The biggest common factor number is the GCF number.
So the greatest common factor 13452 and 13460 is 4.

Also check out the Least Common Multiple of 13452 and 13460