What is the Greatest Common Factor of 63291 and 63305?

Greatest common factor (GCF) of 63291 and 63305 is 1.

GCF(63291,63305) = 1

We will now calculate the prime factors of 63291 and 63305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63291 and 63305.

How to find the GCF of 63291 and 63305?

We will first find the prime factorization of 63291 and 63305. After we will calculate the factors of 63291 and 63305 and find the biggest common factor number .

Step-1: Prime Factorization of 63291

Prime factors of 63291 are 3, 17, 73. Prime factorization of 63291 in exponential form is:

63291 = 3¹ × 17² × 73¹

Step-2: Prime Factorization of 63305

Prime factors of 63305 are 5, 11, 1151. Prime factorization of 63305 in exponential form is:

63305 = 5¹ × 11¹ × 1151¹

Step-3: Factors of 63291

List of positive integer factors of 63291 that divides 63291 without a remainder.

1, 3, 17, 51, 73, 219, 289, 867, 1241, 3723, 21097

Step-4: Factors of 63305

List of positive integer factors of 63305 that divides 63291 without a remainder.

1, 5, 11, 55, 1151, 5755, 12661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63291 and 63305. The biggest common factor number is the GCF number.
So the greatest common factor 63291 and 63305 is 1.

Also check out the Least Common Multiple of 63291 and 63305