What is the Greatest Common Factor of 5018 and 5026?
Greatest common factor (GCF) of 5018 and 5026 is 2.
GCF(5018,5026) = 2
We will now calculate the prime factors of 5018 and 5026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5018 and 5026.
How to find the GCF of 5018 and 5026?
We will first find the prime factorization of 5018 and 5026. After we will calculate the factors of 5018 and 5026 and find the biggest common factor number .
Step-1: Prime Factorization of 5018
Prime factors of 5018 are 2, 13, 193. Prime factorization of 5018 in exponential form is:
5018 = 21 × 131 × 1931
Step-2: Prime Factorization of 5026
Prime factors of 5026 are 2, 7, 359. Prime factorization of 5026 in exponential form is:
5026 = 21 × 71 × 3591
Step-3: Factors of 5018
List of positive integer factors of 5018 that divides 5018 without a remainder.
1, 2, 13, 26, 193, 386, 2509
Step-4: Factors of 5026
List of positive integer factors of 5026 that divides 5018 without a remainder.
1, 2, 7, 14, 359, 718, 2513
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5018 and 5026. The biggest common factor number is the GCF number.
So the greatest common factor 5018 and 5026 is 2.
Also check out the Least Common Multiple of 5018 and 5026
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