What is the Greatest Common Factor of 63509 and 63523?

Greatest common factor (GCF) of 63509 and 63523 is 1.

GCF(63509,63523) = 1

We will now calculate the prime factors of 63509 and 63523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63509 and 63523.

How to find the GCF of 63509 and 63523?

We will first find the prime factorization of 63509 and 63523. After we will calculate the factors of 63509 and 63523 and find the biggest common factor number .

Step-1: Prime Factorization of 63509

Prime factors of 63509 are 41, 1549. Prime factorization of 63509 in exponential form is:

63509 = 41¹ × 1549¹

Step-2: Prime Factorization of 63523

Prime factors of 63523 are 139, 457. Prime factorization of 63523 in exponential form is:

63523 = 139¹ × 457¹

Step-3: Factors of 63509

List of positive integer factors of 63509 that divides 63509 without a remainder.

1, 41, 1549

Step-4: Factors of 63523

List of positive integer factors of 63523 that divides 63509 without a remainder.

1, 139, 457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63509 and 63523. The biggest common factor number is the GCF number.
So the greatest common factor 63509 and 63523 is 1.

Also check out the Least Common Multiple of 63509 and 63523