What is the Greatest Common Factor of 5058 and 5067?
Greatest common factor (GCF) of 5058 and 5067 is 9.
GCF(5058,5067) = 9
We will now calculate the prime factors of 5058 and 5067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5058 and 5067.
How to find the GCF of 5058 and 5067?
We will first find the prime factorization of 5058 and 5067. After we will calculate the factors of 5058 and 5067 and find the biggest common factor number .
Step-1: Prime Factorization of 5058
Prime factors of 5058 are 2, 3, 281. Prime factorization of 5058 in exponential form is:
5058 = 21 × 32 × 2811
Step-2: Prime Factorization of 5067
Prime factors of 5067 are 3, 563. Prime factorization of 5067 in exponential form is:
5067 = 32 × 5631
Step-3: Factors of 5058
List of positive integer factors of 5058 that divides 5058 without a remainder.
1, 2, 3, 6, 9, 18, 281, 562, 843, 1686, 2529
Step-4: Factors of 5067
List of positive integer factors of 5067 that divides 5058 without a remainder.
1, 3, 9, 563, 1689
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5058 and 5067. The biggest common factor number is the GCF number.
So the greatest common factor 5058 and 5067 is 9.
Also check out the Least Common Multiple of 5058 and 5067
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