What is the Greatest Common Factor of 21452 and 21464?

Greatest common factor (GCF) of 21452 and 21464 is 4.

GCF(21452,21464) = 4

We will now calculate the prime factors of 21452 and 21464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21452 and 21464.

How to find the GCF of 21452 and 21464?

We will first find the prime factorization of 21452 and 21464. After we will calculate the factors of 21452 and 21464 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 21464

Prime factors of 21464 are 2, 2683. Prime factorization of 21464 in exponential form is:

21464 = 2³ × 2683¹

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 21464

List of positive integer factors of 21464 that divides 21452 without a remainder.

1, 2, 4, 8, 2683, 5366, 10732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21452 and 21464. The biggest common factor number is the GCF number.
So the greatest common factor 21452 and 21464 is 4.

Also check out the Least Common Multiple of 21452 and 21464