What is the Greatest Common Factor of 63192 and 63201?

Greatest common factor (GCF) of 63192 and 63201 is 3.

GCF(63192,63201) = 3

We will now calculate the prime factors of 63192 and 63201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63192 and 63201.

How to find the GCF of 63192 and 63201?

We will first find the prime factorization of 63192 and 63201. After we will calculate the factors of 63192 and 63201 and find the biggest common factor number .

Step-1: Prime Factorization of 63192

Prime factors of 63192 are 2, 3, 2633. Prime factorization of 63192 in exponential form is:

63192 = 2³ × 3¹ × 2633¹

Step-2: Prime Factorization of 63201

Prime factors of 63201 are 3, 21067. Prime factorization of 63201 in exponential form is:

63201 = 3¹ × 21067¹

Step-3: Factors of 63192

List of positive integer factors of 63192 that divides 63192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2633, 5266, 7899, 10532, 15798, 21064, 31596

Step-4: Factors of 63201

List of positive integer factors of 63201 that divides 63192 without a remainder.

1, 3, 21067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63192 and 63201. The biggest common factor number is the GCF number.
So the greatest common factor 63192 and 63201 is 3.

Also check out the Least Common Multiple of 63192 and 63201