What is the Greatest Common Factor of 47674 and 47682?
Greatest common factor (GCF) of 47674 and 47682 is 2.
GCF(47674,47682) = 2
We will now calculate the prime factors of 47674 and 47682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47674 and 47682.
How to find the GCF of 47674 and 47682?
We will first find the prime factorization of 47674 and 47682. After we will calculate the factors of 47674 and 47682 and find the biggest common factor number .
Step-1: Prime Factorization of 47674
Prime factors of 47674 are 2, 11, 197. Prime factorization of 47674 in exponential form is:
47674 = 21 × 112 × 1971
Step-2: Prime Factorization of 47682
Prime factors of 47682 are 2, 3, 883. Prime factorization of 47682 in exponential form is:
47682 = 21 × 33 × 8831
Step-3: Factors of 47674
List of positive integer factors of 47674 that divides 47674 without a remainder.
1, 2, 11, 22, 121, 197, 242, 394, 2167, 4334, 23837
Step-4: Factors of 47682
List of positive integer factors of 47682 that divides 47674 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 883, 1766, 2649, 5298, 7947, 15894, 23841
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 47674 and 47682. The biggest common factor number is the GCF number.
So the greatest common factor 47674 and 47682 is 2.
Also check out the Least Common Multiple of 47674 and 47682
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