What is the Greatest Common Factor of 63365 and 63370?

Greatest common factor (GCF) of 63365 and 63370 is 5.

GCF(63365,63370) = 5

We will now calculate the prime factors of 63365 and 63370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63365 and 63370.

How to find the GCF of 63365 and 63370?

We will first find the prime factorization of 63365 and 63370. After we will calculate the factors of 63365 and 63370 and find the biggest common factor number .

Step-1: Prime Factorization of 63365

Prime factors of 63365 are 5, 19, 23, 29. Prime factorization of 63365 in exponential form is:

63365 = 5¹ × 19¹ × 23¹ × 29¹

Step-2: Prime Factorization of 63370

Prime factors of 63370 are 2, 5, 6337. Prime factorization of 63370 in exponential form is:

63370 = 2¹ × 5¹ × 6337¹

Step-3: Factors of 63365

List of positive integer factors of 63365 that divides 63365 without a remainder.

1, 5, 19, 23, 29, 95, 115, 145, 437, 551, 667, 2185, 2755, 3335, 12673

Step-4: Factors of 63370

List of positive integer factors of 63370 that divides 63365 without a remainder.

1, 2, 5, 10, 6337, 12674, 31685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63365 and 63370. The biggest common factor number is the GCF number.
So the greatest common factor 63365 and 63370 is 5.

Also check out the Least Common Multiple of 63365 and 63370