What is the Greatest Common Factor of 67986 and 67994?
Greatest common factor (GCF) of 67986 and 67994 is 2.
GCF(67986,67994) = 2
We will now calculate the prime factors of 67986 and 67994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67986 and 67994.
How to find the GCF of 67986 and 67994?
We will first find the prime factorization of 67986 and 67994. After we will calculate the factors of 67986 and 67994 and find the biggest common factor number .
Step-1: Prime Factorization of 67986
Prime factors of 67986 are 2, 3, 1259. Prime factorization of 67986 in exponential form is:
67986 = 21 × 33 × 12591
Step-2: Prime Factorization of 67994
Prime factors of 67994 are 2, 33997. Prime factorization of 67994 in exponential form is:
67994 = 21 × 339971
Step-3: Factors of 67986
List of positive integer factors of 67986 that divides 67986 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 1259, 2518, 3777, 7554, 11331, 22662, 33993
Step-4: Factors of 67994
List of positive integer factors of 67994 that divides 67986 without a remainder.
1, 2, 33997
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67986 and 67994. The biggest common factor number is the GCF number.
So the greatest common factor 67986 and 67994 is 2.
Also check out the Least Common Multiple of 67986 and 67994
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