What is the Greatest Common Factor of 63497 and 63511?

Greatest common factor (GCF) of 63497 and 63511 is 7.

GCF(63497,63511) = 7

We will now calculate the prime factors of 63497 and 63511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63497 and 63511.

How to find the GCF of 63497 and 63511?

We will first find the prime factorization of 63497 and 63511. After we will calculate the factors of 63497 and 63511 and find the biggest common factor number .

Step-1: Prime Factorization of 63497

Prime factors of 63497 are 7, 47, 193. Prime factorization of 63497 in exponential form is:

63497 = 7¹ × 47¹ × 193¹

Step-2: Prime Factorization of 63511

Prime factors of 63511 are 7, 43, 211. Prime factorization of 63511 in exponential form is:

63511 = 7¹ × 43¹ × 211¹

Step-3: Factors of 63497

List of positive integer factors of 63497 that divides 63497 without a remainder.

1, 7, 47, 193, 329, 1351, 9071

Step-4: Factors of 63511

List of positive integer factors of 63511 that divides 63497 without a remainder.

1, 7, 43, 211, 301, 1477, 9073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63497 and 63511. The biggest common factor number is the GCF number.
So the greatest common factor 63497 and 63511 is 7.

Also check out the Least Common Multiple of 63497 and 63511