What is the Greatest Common Factor of 5304 and 5308?
Greatest common factor (GCF) of 5304 and 5308 is 4.
GCF(5304,5308) = 4
We will now calculate the prime factors of 5304 and 5308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5304 and 5308.
How to find the GCF of 5304 and 5308?
We will first find the prime factorization of 5304 and 5308. After we will calculate the factors of 5304 and 5308 and find the biggest common factor number .
Step-1: Prime Factorization of 5304
Prime factors of 5304 are 2, 3, 13, 17. Prime factorization of 5304 in exponential form is:
5304 = 23 × 31 × 131 × 171
Step-2: Prime Factorization of 5308
Prime factors of 5308 are 2, 1327. Prime factorization of 5308 in exponential form is:
5308 = 22 × 13271
Step-3: Factors of 5304
List of positive integer factors of 5304 that divides 5304 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652
Step-4: Factors of 5308
List of positive integer factors of 5308 that divides 5304 without a remainder.
1, 2, 4, 1327, 2654
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5304 and 5308. The biggest common factor number is the GCF number.
So the greatest common factor 5304 and 5308 is 4.
Also check out the Least Common Multiple of 5304 and 5308
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