What is the Greatest Common Factor of 54800 and 54808?
Greatest common factor (GCF) of 54800 and 54808 is 8.
GCF(54800,54808) = 8
We will now calculate the prime factors of 54800 and 54808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54800 and 54808.
How to find the GCF of 54800 and 54808?
We will first find the prime factorization of 54800 and 54808. After we will calculate the factors of 54800 and 54808 and find the biggest common factor number .
Step-1: Prime Factorization of 54800
Prime factors of 54800 are 2, 5, 137. Prime factorization of 54800 in exponential form is:
54800 = 24 × 52 × 1371
Step-2: Prime Factorization of 54808
Prime factors of 54808 are 2, 13, 17, 31. Prime factorization of 54808 in exponential form is:
54808 = 23 × 131 × 171 × 311
Step-3: Factors of 54800
List of positive integer factors of 54800 that divides 54800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 137, 200, 274, 400, 548, 685, 1096, 1370, 2192, 2740, 3425, 5480, 6850, 10960, 13700, 27400
Step-4: Factors of 54808
List of positive integer factors of 54808 that divides 54800 without a remainder.
1, 2, 4, 8, 13, 17, 26, 31, 34, 52, 62, 68, 104, 124, 136, 221, 248, 403, 442, 527, 806, 884, 1054, 1612, 1768, 2108, 3224, 4216, 6851, 13702, 27404
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 54800 and 54808. The biggest common factor number is the GCF number.
So the greatest common factor 54800 and 54808 is 8.
Also check out the Least Common Multiple of 54800 and 54808
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