What is the Greatest Common Factor of 63460 and 63472?

Greatest common factor (GCF) of 63460 and 63472 is 4.

GCF(63460,63472) = 4

We will now calculate the prime factors of 63460 and 63472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63460 and 63472.

How to find the GCF of 63460 and 63472?

We will first find the prime factorization of 63460 and 63472. After we will calculate the factors of 63460 and 63472 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63472

Prime factors of 63472 are 2, 3967. Prime factorization of 63472 in exponential form is:

63472 = 2⁴ × 3967¹

Step-3: Factors of 63460

List of positive integer factors of 63460 that divides 63460 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

Step-4: Factors of 63472

List of positive integer factors of 63472 that divides 63460 without a remainder.

1, 2, 4, 8, 16, 3967, 7934, 15868, 31736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63460 and 63472. The biggest common factor number is the GCF number.
So the greatest common factor 63460 and 63472 is 4.

Also check out the Least Common Multiple of 63460 and 63472