What is the Greatest Common Factor of 40672 and 40686?
Greatest common factor (GCF) of 40672 and 40686 is 2.
GCF(40672,40686) = 2
We will now calculate the prime factors of 40672 and 40686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40672 and 40686.
How to find the GCF of 40672 and 40686?
We will first find the prime factorization of 40672 and 40686. After we will calculate the factors of 40672 and 40686 and find the biggest common factor number .
Step-1: Prime Factorization of 40672
Prime factors of 40672 are 2, 31, 41. Prime factorization of 40672 in exponential form is:
40672 = 25 × 311 × 411
Step-2: Prime Factorization of 40686
Prime factors of 40686 are 2, 3, 6781. Prime factorization of 40686 in exponential form is:
40686 = 21 × 31 × 67811
Step-3: Factors of 40672
List of positive integer factors of 40672 that divides 40672 without a remainder.
1, 2, 4, 8, 16, 31, 32, 41, 62, 82, 124, 164, 248, 328, 496, 656, 992, 1271, 1312, 2542, 5084, 10168, 20336
Step-4: Factors of 40686
List of positive integer factors of 40686 that divides 40672 without a remainder.
1, 2, 3, 6, 6781, 13562, 20343
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 40672 and 40686. The biggest common factor number is the GCF number.
So the greatest common factor 40672 and 40686 is 2.
Also check out the Least Common Multiple of 40672 and 40686
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