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What is the Greatest Common Factor of 48294 and 48312?

Greatest common factor (GCF) of 48294 and 48312 is 18.

GCF(48294,48312) = 18

We will now calculate the prime factors of 48294 and 48312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48294 and 48312.

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How to find the GCF of 48294 and 48312?

We will first find the prime factorization of 48294 and 48312. After we will calculate the factors of 48294 and 48312 and find the biggest common factor number .

Step-1: Prime Factorization of 48294

Prime factors of 48294 are 2, 3, 2683. Prime factorization of 48294 in exponential form is:

48294 = 21 × 32 × 26831

Step-2: Prime Factorization of 48312

Prime factors of 48312 are 2, 3, 11, 61. Prime factorization of 48312 in exponential form is:

48312 = 23 × 32 × 111 × 611

Step-3: Factors of 48294

List of positive integer factors of 48294 that divides 48294 without a remainder.

1, 2, 3, 6, 9, 18, 2683, 5366, 8049, 16098, 24147

Step-4: Factors of 48312

List of positive integer factors of 48312 that divides 48294 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 61, 66, 72, 88, 99, 122, 132, 183, 198, 244, 264, 366, 396, 488, 549, 671, 732, 792, 1098, 1342, 1464, 2013, 2196, 2684, 4026, 4392, 5368, 6039, 8052, 12078, 16104, 24156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48294 and 48312. The biggest common factor number is the GCF number.
So the greatest common factor 48294 and 48312 is 18.

Also check out the Least Common Multiple of 48294 and 48312