What is the Greatest Common Factor of 63388 and 63407?

Greatest common factor (GCF) of 63388 and 63407 is 1.

GCF(63388,63407) = 1

We will now calculate the prime factors of 63388 and 63407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63388 and 63407.

How to find the GCF of 63388 and 63407?

We will first find the prime factorization of 63388 and 63407. After we will calculate the factors of 63388 and 63407 and find the biggest common factor number .

Step-1: Prime Factorization of 63388

Prime factors of 63388 are 2, 13, 23, 53. Prime factorization of 63388 in exponential form is:

63388 = 2² × 13¹ × 23¹ × 53¹

Step-2: Prime Factorization of 63407

Prime factors of 63407 are 163, 389. Prime factorization of 63407 in exponential form is:

63407 = 163¹ × 389¹

Step-3: Factors of 63388

List of positive integer factors of 63388 that divides 63388 without a remainder.

1, 2, 4, 13, 23, 26, 46, 52, 53, 92, 106, 212, 299, 598, 689, 1196, 1219, 1378, 2438, 2756, 4876, 15847, 31694

Step-4: Factors of 63407

List of positive integer factors of 63407 that divides 63388 without a remainder.

1, 163, 389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63388 and 63407. The biggest common factor number is the GCF number.
So the greatest common factor 63388 and 63407 is 1.

Also check out the Least Common Multiple of 63388 and 63407