What is the Greatest Common Factor of 78285 and 78303?

Greatest common factor (GCF) of 78285 and 78303 is 3.

GCF(78285,78303) = 3

We will now calculate the prime factors of 78285 and 78303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78285 and 78303.

How to find the GCF of 78285 and 78303?

We will first find the prime factorization of 78285 and 78303. After we will calculate the factors of 78285 and 78303 and find the biggest common factor number .

Step-1: Prime Factorization of 78285

Prime factors of 78285 are 3, 5, 17, 307. Prime factorization of 78285 in exponential form is:

78285 = 3¹ × 5¹ × 17¹ × 307¹

Step-2: Prime Factorization of 78303

Prime factors of 78303 are 3, 43, 607. Prime factorization of 78303 in exponential form is:

78303 = 3¹ × 43¹ × 607¹

Step-3: Factors of 78285

List of positive integer factors of 78285 that divides 78285 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 307, 921, 1535, 4605, 5219, 15657, 26095

Step-4: Factors of 78303

List of positive integer factors of 78303 that divides 78285 without a remainder.

1, 3, 43, 129, 607, 1821, 26101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78285 and 78303. The biggest common factor number is the GCF number.
So the greatest common factor 78285 and 78303 is 3.

Also check out the Least Common Multiple of 78285 and 78303