What is the Greatest Common Factor of 36673 and 36678?
Greatest common factor (GCF) of 36673 and 36678 is 1.
GCF(36673,36678) = 1
We will now calculate the prime factors of 36673 and 36678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36673 and 36678.
How to find the GCF of 36673 and 36678?
We will first find the prime factorization of 36673 and 36678. After we will calculate the factors of 36673 and 36678 and find the biggest common factor number .
Step-1: Prime Factorization of 36673
Prime factors of 36673 are 7, 13, 31. Prime factorization of 36673 in exponential form is:
36673 = 71 × 132 × 311
Step-2: Prime Factorization of 36678
Prime factors of 36678 are 2, 3, 6113. Prime factorization of 36678 in exponential form is:
36678 = 21 × 31 × 61131
Step-3: Factors of 36673
List of positive integer factors of 36673 that divides 36673 without a remainder.
1, 7, 13, 31, 91, 169, 217, 403, 1183, 2821, 5239
Step-4: Factors of 36678
List of positive integer factors of 36678 that divides 36673 without a remainder.
1, 2, 3, 6, 6113, 12226, 18339
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 36673 and 36678. The biggest common factor number is the GCF number.
So the greatest common factor 36673 and 36678 is 1.
Also check out the Least Common Multiple of 36673 and 36678
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