What is the Greatest Common Factor of 63567 and 63577?

Greatest common factor (GCF) of 63567 and 63577 is 1.

GCF(63567,63577) = 1

We will now calculate the prime factors of 63567 and 63577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63567 and 63577.

How to find the GCF of 63567 and 63577?

We will first find the prime factorization of 63567 and 63577. After we will calculate the factors of 63567 and 63577 and find the biggest common factor number .

Step-1: Prime Factorization of 63567

Prime factors of 63567 are 3, 7, 1009. Prime factorization of 63567 in exponential form is:

63567 = 3² × 7¹ × 1009¹

Step-2: Prime Factorization of 63577

Prime factors of 63577 are 63577. Prime factorization of 63577 in exponential form is:

63577 = 63577¹

Step-3: Factors of 63567

List of positive integer factors of 63567 that divides 63567 without a remainder.

1, 3, 7, 9, 21, 63, 1009, 3027, 7063, 9081, 21189

Step-4: Factors of 63577

List of positive integer factors of 63577 that divides 63567 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63567 and 63577. The biggest common factor number is the GCF number.
So the greatest common factor 63567 and 63577 is 1.

Also check out the Least Common Multiple of 63567 and 63577