What is the Greatest Common Factor of 60297 and 60303?

Greatest common factor (GCF) of 60297 and 60303 is 3.

GCF(60297,60303) = 3

We will now calculate the prime factors of 60297 and 60303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60297 and 60303.

How to find the GCF of 60297 and 60303?

We will first find the prime factorization of 60297 and 60303. After we will calculate the factors of 60297 and 60303 and find the biggest common factor number .

Step-1: Prime Factorization of 60297

Prime factors of 60297 are 3, 101, 199. Prime factorization of 60297 in exponential form is:

60297 = 3¹ × 101¹ × 199¹

Step-2: Prime Factorization of 60303

Prime factors of 60303 are 3, 20101. Prime factorization of 60303 in exponential form is:

60303 = 3¹ × 20101¹

Step-3: Factors of 60297

List of positive integer factors of 60297 that divides 60297 without a remainder.

1, 3, 101, 199, 303, 597, 20099

Step-4: Factors of 60303

List of positive integer factors of 60303 that divides 60297 without a remainder.

1, 3, 20101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60297 and 60303. The biggest common factor number is the GCF number.
So the greatest common factor 60297 and 60303 is 3.

Also check out the Least Common Multiple of 60297 and 60303