What is the Greatest Common Factor of 21452 and 21460?

Greatest common factor (GCF) of 21452 and 21460 is 4.

GCF(21452,21460) = 4

We will now calculate the prime factors of 21452 and 21460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21452 and 21460.

How to find the GCF of 21452 and 21460?

We will first find the prime factorization of 21452 and 21460. After we will calculate the factors of 21452 and 21460 and find the biggest common factor number .

Step-1: Prime Factorization of 21452

Prime factors of 21452 are 2, 31, 173. Prime factorization of 21452 in exponential form is:

21452 = 2² × 31¹ × 173¹

Step-2: Prime Factorization of 21460

Prime factors of 21460 are 2, 5, 29, 37. Prime factorization of 21460 in exponential form is:

21460 = 2² × 5¹ × 29¹ × 37¹

Step-3: Factors of 21452

List of positive integer factors of 21452 that divides 21452 without a remainder.

1, 2, 4, 31, 62, 124, 173, 346, 692, 5363, 10726

Step-4: Factors of 21460

List of positive integer factors of 21460 that divides 21452 without a remainder.

1, 2, 4, 5, 10, 20, 29, 37, 58, 74, 116, 145, 148, 185, 290, 370, 580, 740, 1073, 2146, 4292, 5365, 10730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21452 and 21460. The biggest common factor number is the GCF number.
So the greatest common factor 21452 and 21460 is 4.

Also check out the Least Common Multiple of 21452 and 21460