What is the Greatest Common Factor of 48297 and 48302?

Greatest common factor (GCF) of 48297 and 48302 is 1.

GCF(48297,48302) = 1

We will now calculate the prime factors of 48297 and 48302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48297 and 48302.

How to find the GCF of 48297 and 48302?

We will first find the prime factorization of 48297 and 48302. After we will calculate the factors of 48297 and 48302 and find the biggest common factor number .

Step-1: Prime Factorization of 48297

Prime factors of 48297 are 3, 17, 947. Prime factorization of 48297 in exponential form is:

48297 = 3¹ × 17¹ × 947¹

Step-2: Prime Factorization of 48302

Prime factors of 48302 are 2, 24151. Prime factorization of 48302 in exponential form is:

48302 = 2¹ × 24151¹

Step-3: Factors of 48297

List of positive integer factors of 48297 that divides 48297 without a remainder.

1, 3, 17, 51, 947, 2841, 16099

Step-4: Factors of 48302

List of positive integer factors of 48302 that divides 48297 without a remainder.

1, 2, 24151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48297 and 48302. The biggest common factor number is the GCF number.
So the greatest common factor 48297 and 48302 is 1.

Also check out the Least Common Multiple of 48297 and 48302