What is the Greatest Common Factor of 63407 and 63425?

Greatest common factor (GCF) of 63407 and 63425 is 1.

GCF(63407,63425) = 1

We will now calculate the prime factors of 63407 and 63425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63407 and 63425.

How to find the GCF of 63407 and 63425?

We will first find the prime factorization of 63407 and 63425. After we will calculate the factors of 63407 and 63425 and find the biggest common factor number .

Step-1: Prime Factorization of 63407

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

63407 = 163¹ × 389¹

Step-2: Prime Factorization of 63425

Prime factors of 63425 are 5, 43, 59. Prime factorization of 63425 in exponential form is:

63425 = 5² × 43¹ × 59¹

Step-3: Factors of 63407

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

1, 163, 389

Step-4: Factors of 63425

List of positive integer factors of 63425 that divides 63407 without a remainder.

1, 5, 25, 43, 59, 215, 295, 1075, 1475, 2537, 12685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63407 and 63425. The biggest common factor number is the GCF number.
So the greatest common factor 63407 and 63425 is 1.

Also check out the Least Common Multiple of 63407 and 63425