What is the Greatest Common Factor of 36294 and 36303?

Greatest common factor (GCF) of 36294 and 36303 is 3.

GCF(36294,36303) = 3

We will now calculate the prime factors of 36294 and 36303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36294 and 36303.

How to find the GCF of 36294 and 36303?

We will first find the prime factorization of 36294 and 36303. After we will calculate the factors of 36294 and 36303 and find the biggest common factor number .

Step-1: Prime Factorization of 36294

Prime factors of 36294 are 2, 3, 23, 263. Prime factorization of 36294 in exponential form is:

36294 = 2¹ × 3¹ × 23¹ × 263¹

Step-2: Prime Factorization of 36303

Prime factors of 36303 are 3, 12101. Prime factorization of 36303 in exponential form is:

36303 = 3¹ × 12101¹

Step-3: Factors of 36294

List of positive integer factors of 36294 that divides 36294 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 263, 526, 789, 1578, 6049, 12098, 18147

Step-4: Factors of 36303

List of positive integer factors of 36303 that divides 36294 without a remainder.

1, 3, 12101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36294 and 36303. The biggest common factor number is the GCF number.
So the greatest common factor 36294 and 36303 is 3.

Also check out the Least Common Multiple of 36294 and 36303