What is the Greatest Common Factor of 60333 and 60347?

Greatest common factor (GCF) of 60333 and 60347 is 7.

GCF(60333,60347) = 7

We will now calculate the prime factors of 60333 and 60347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60333 and 60347.

How to find the GCF of 60333 and 60347?

We will first find the prime factorization of 60333 and 60347. After we will calculate the factors of 60333 and 60347 and find the biggest common factor number .

Step-1: Prime Factorization of 60333

Prime factors of 60333 are 3, 7, 13, 17. Prime factorization of 60333 in exponential form is:

60333 = 3¹ × 7¹ × 13² × 17¹

Step-2: Prime Factorization of 60347

Prime factors of 60347 are 7, 37, 233. Prime factorization of 60347 in exponential form is:

60347 = 7¹ × 37¹ × 233¹

Step-3: Factors of 60333

List of positive integer factors of 60333 that divides 60333 without a remainder.

1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 169, 221, 273, 357, 507, 663, 1183, 1547, 2873, 3549, 4641, 8619, 20111

Step-4: Factors of 60347

List of positive integer factors of 60347 that divides 60333 without a remainder.

1, 7, 37, 233, 259, 1631, 8621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60333 and 60347. The biggest common factor number is the GCF number.
So the greatest common factor 60333 and 60347 is 7.

Also check out the Least Common Multiple of 60333 and 60347