What is the Greatest Common Factor of 36294 and 36302?

Greatest common factor (GCF) of 36294 and 36302 is 2.

GCF(36294,36302) = 2

We will now calculate the prime factors of 36294 and 36302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36294 and 36302.

How to find the GCF of 36294 and 36302?

We will first find the prime factorization of 36294 and 36302. After we will calculate the factors of 36294 and 36302 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 36302

Prime factors of 36302 are 2, 7, 2593. Prime factorization of 36302 in exponential form is:

36302 = 2¹ × 7¹ × 2593¹

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 36302

List of positive integer factors of 36302 that divides 36294 without a remainder.

1, 2, 7, 14, 2593, 5186, 18151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36294 and 36302. The biggest common factor number is the GCF number.
So the greatest common factor 36294 and 36302 is 2.

Also check out the Least Common Multiple of 36294 and 36302