What is the Greatest Common Factor of 5336 and 5340?
Greatest common factor (GCF) of 5336 and 5340 is 4.
GCF(5336,5340) = 4
We will now calculate the prime factors of 5336 and 5340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5336 and 5340.
How to find the GCF of 5336 and 5340?
We will first find the prime factorization of 5336 and 5340. After we will calculate the factors of 5336 and 5340 and find the biggest common factor number .
Step-1: Prime Factorization of 5336
Prime factors of 5336 are 2, 23, 29. Prime factorization of 5336 in exponential form is:
5336 = 23 × 231 × 291
Step-2: Prime Factorization of 5340
Prime factors of 5340 are 2, 3, 5, 89. Prime factorization of 5340 in exponential form is:
5340 = 22 × 31 × 51 × 891
Step-3: Factors of 5336
List of positive integer factors of 5336 that divides 5336 without a remainder.
1, 2, 4, 8, 23, 29, 46, 58, 92, 116, 184, 232, 667, 1334, 2668
Step-4: Factors of 5340
List of positive integer factors of 5340 that divides 5336 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356, 445, 534, 890, 1068, 1335, 1780, 2670
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5336 and 5340. The biggest common factor number is the GCF number.
So the greatest common factor 5336 and 5340 is 4.
Also check out the Least Common Multiple of 5336 and 5340
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