What is the Greatest Common Factor of 5476 and 5496?
Greatest common factor (GCF) of 5476 and 5496 is 4.
GCF(5476,5496) = 4
We will now calculate the prime factors of 5476 and 5496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5476 and 5496.
How to find the GCF of 5476 and 5496?
We will first find the prime factorization of 5476 and 5496. After we will calculate the factors of 5476 and 5496 and find the biggest common factor number .
Step-1: Prime Factorization of 5476
Prime factors of 5476 are 2, 37. Prime factorization of 5476 in exponential form is:
5476 = 22 × 372
Step-2: Prime Factorization of 5496
Prime factors of 5496 are 2, 3, 229. Prime factorization of 5496 in exponential form is:
5496 = 23 × 31 × 2291
Step-3: Factors of 5476
List of positive integer factors of 5476 that divides 5476 without a remainder.
1, 2, 4, 37, 74, 148, 1369, 2738
Step-4: Factors of 5496
List of positive integer factors of 5496 that divides 5476 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 229, 458, 687, 916, 1374, 1832, 2748
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5476 and 5496. The biggest common factor number is the GCF number.
So the greatest common factor 5476 and 5496 is 4.
Also check out the Least Common Multiple of 5476 and 5496
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