What is the Greatest Common Factor of 36314 and 36330?

Greatest common factor (GCF) of 36314 and 36330 is 2.

GCF(36314,36330) = 2

We will now calculate the prime factors of 36314 and 36330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36314 and 36330.

How to find the GCF of 36314 and 36330?

We will first find the prime factorization of 36314 and 36330. After we will calculate the factors of 36314 and 36330 and find the biggest common factor number .

Step-1: Prime Factorization of 36314

Prime factors of 36314 are 2, 67, 271. Prime factorization of 36314 in exponential form is:

36314 = 2¹ × 67¹ × 271¹

Step-2: Prime Factorization of 36330

Prime factors of 36330 are 2, 3, 5, 7, 173. Prime factorization of 36330 in exponential form is:

36330 = 2¹ × 3¹ × 5¹ × 7¹ × 173¹

Step-3: Factors of 36314

List of positive integer factors of 36314 that divides 36314 without a remainder.

1, 2, 67, 134, 271, 542, 18157

Step-4: Factors of 36330

List of positive integer factors of 36330 that divides 36314 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 173, 210, 346, 519, 865, 1038, 1211, 1730, 2422, 2595, 3633, 5190, 6055, 7266, 12110, 18165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36314 and 36330. The biggest common factor number is the GCF number.
So the greatest common factor 36314 and 36330 is 2.

Also check out the Least Common Multiple of 36314 and 36330