What is the Greatest Common Factor of 24452 and 24460?

Greatest common factor (GCF) of 24452 and 24460 is 4.

GCF(24452,24460) = 4

We will now calculate the prime factors of 24452 and 24460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24452 and 24460.

How to find the GCF of 24452 and 24460?

We will first find the prime factorization of 24452 and 24460. After we will calculate the factors of 24452 and 24460 and find the biggest common factor number .

Step-1: Prime Factorization of 24452

Prime factors of 24452 are 2, 6113. Prime factorization of 24452 in exponential form is:

24452 = 2² × 6113¹

Step-2: Prime Factorization of 24460

Prime factors of 24460 are 2, 5, 1223. Prime factorization of 24460 in exponential form is:

24460 = 2² × 5¹ × 1223¹

Step-3: Factors of 24452

List of positive integer factors of 24452 that divides 24452 without a remainder.

1, 2, 4, 6113, 12226

Step-4: Factors of 24460

List of positive integer factors of 24460 that divides 24452 without a remainder.

1, 2, 4, 5, 10, 20, 1223, 2446, 4892, 6115, 12230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24452 and 24460. The biggest common factor number is the GCF number.
So the greatest common factor 24452 and 24460 is 4.

Also check out the Least Common Multiple of 24452 and 24460