What is the Greatest Common Factor of 63452 and 63460?

Greatest common factor (GCF) of 63452 and 63460 is 4.

GCF(63452,63460) = 4

We will now calculate the prime factors of 63452 and 63460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63452 and 63460.

How to find the GCF of 63452 and 63460?

We will first find the prime factorization of 63452 and 63460. After we will calculate the factors of 63452 and 63460 and find the biggest common factor number .

Step-1: Prime Factorization of 63452

Prime factors of 63452 are 2, 29, 547. Prime factorization of 63452 in exponential form is:

63452 = 2² × 29¹ × 547¹

Step-2: Prime Factorization of 63460

Prime factors of 63460 are 2, 5, 19, 167. Prime factorization of 63460 in exponential form is:

63460 = 2² × 5¹ × 19¹ × 167¹

Step-3: Factors of 63452

List of positive integer factors of 63452 that divides 63452 without a remainder.

1, 2, 4, 29, 58, 116, 547, 1094, 2188, 15863, 31726

Step-4: Factors of 63460

List of positive integer factors of 63460 that divides 63452 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 167, 190, 334, 380, 668, 835, 1670, 3173, 3340, 6346, 12692, 15865, 31730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63452 and 63460. The biggest common factor number is the GCF number.
So the greatest common factor 63452 and 63460 is 4.

Also check out the Least Common Multiple of 63452 and 63460