What is the Greatest Common Factor of 42285 and 42303?

Greatest common factor (GCF) of 42285 and 42303 is 3.

GCF(42285,42303) = 3

We will now calculate the prime factors of 42285 and 42303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42285 and 42303.

How to find the GCF of 42285 and 42303?

We will first find the prime factorization of 42285 and 42303. After we will calculate the factors of 42285 and 42303 and find the biggest common factor number .

Step-1: Prime Factorization of 42285

Prime factors of 42285 are 3, 5, 2819. Prime factorization of 42285 in exponential form is:

42285 = 3¹ × 5¹ × 2819¹

Step-2: Prime Factorization of 42303

Prime factors of 42303 are 3, 59, 239. Prime factorization of 42303 in exponential form is:

42303 = 3¹ × 59¹ × 239¹

Step-3: Factors of 42285

List of positive integer factors of 42285 that divides 42285 without a remainder.

1, 3, 5, 15, 2819, 8457, 14095

Step-4: Factors of 42303

List of positive integer factors of 42303 that divides 42285 without a remainder.

1, 3, 59, 177, 239, 717, 14101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42285 and 42303. The biggest common factor number is the GCF number.
So the greatest common factor 42285 and 42303 is 3.

Also check out the Least Common Multiple of 42285 and 42303