What is the Greatest Common Factor of 5340 and 5358?
Greatest common factor (GCF) of 5340 and 5358 is 6.
GCF(5340,5358) = 6
We will now calculate the prime factors of 5340 and 5358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5340 and 5358.
How to find the GCF of 5340 and 5358?
We will first find the prime factorization of 5340 and 5358. After we will calculate the factors of 5340 and 5358 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 5358
Prime factors of 5358 are 2, 3, 19, 47. Prime factorization of 5358 in exponential form is:
5358 = 21 × 31 × 191 × 471
Step-3: Factors of 5340
List of positive integer factors of 5340 that divides 5340 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
Step-4: Factors of 5358
List of positive integer factors of 5358 that divides 5340 without a remainder.
1, 2, 3, 6, 19, 38, 47, 57, 94, 114, 141, 282, 893, 1786, 2679
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5340 and 5358. The biggest common factor number is the GCF number.
So the greatest common factor 5340 and 5358 is 6.
Also check out the Least Common Multiple of 5340 and 5358
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