What is the Greatest Common Factor of 63460 and 63466?

Greatest common factor (GCF) of 63460 and 63466 is 2.

GCF(63460,63466) = 2

We will now calculate the prime factors of 63460 and 63466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63460 and 63466.

How to find the GCF of 63460 and 63466?

We will first find the prime factorization of 63460 and 63466. After we will calculate the factors of 63460 and 63466 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 63466

Prime factors of 63466 are 2, 13, 2441. Prime factorization of 63466 in exponential form is:

63466 = 2¹ × 13¹ × 2441¹

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 63466

List of positive integer factors of 63466 that divides 63460 without a remainder.

1, 2, 13, 26, 2441, 4882, 31733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63460 and 63466. The biggest common factor number is the GCF number.
So the greatest common factor 63460 and 63466 is 2.

Also check out the Least Common Multiple of 63460 and 63466