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.
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
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Related Greatest Common Factors of 48312
- GCF of 48312 and 48316
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