What is the Greatest Common Factor of 63466 and 63479?

Greatest common factor (GCF) of 63466 and 63479 is 13.

GCF(63466,63479) = 13

We will now calculate the prime factors of 63466 and 63479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63466 and 63479.

How to find the GCF of 63466 and 63479?

We will first find the prime factorization of 63466 and 63479. After we will calculate the factors of 63466 and 63479 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63479

Prime factors of 63479 are 13, 19, 257. Prime factorization of 63479 in exponential form is:

63479 = 13¹ × 19¹ × 257¹

Step-3: Factors of 63466

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

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

Step-4: Factors of 63479

List of positive integer factors of 63479 that divides 63466 without a remainder.

1, 13, 19, 247, 257, 3341, 4883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63466 and 63479. The biggest common factor number is the GCF number.
So the greatest common factor 63466 and 63479 is 13.

Also check out the Least Common Multiple of 63466 and 63479