What is the Greatest Common Factor of 54711 and 54720?
Greatest common factor (GCF) of 54711 and 54720 is 9.
GCF(54711,54720) = 9
We will now calculate the prime factors of 54711 and 54720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54711 and 54720.
How to find the GCF of 54711 and 54720?
We will first find the prime factorization of 54711 and 54720. After we will calculate the factors of 54711 and 54720 and find the biggest common factor number .
Step-1: Prime Factorization of 54711
Prime factors of 54711 are 3, 6079. Prime factorization of 54711 in exponential form is:
54711 = 32 × 60791
Step-2: Prime Factorization of 54720
Prime factors of 54720 are 2, 3, 5, 19. Prime factorization of 54720 in exponential form is:
54720 = 26 × 32 × 51 × 191
Step-3: Factors of 54711
List of positive integer factors of 54711 that divides 54711 without a remainder.
1, 3, 9, 6079, 18237
Step-4: Factors of 54720
List of positive integer factors of 54720 that divides 54711 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 19, 20, 24, 30, 32, 36, 38, 40, 45, 48, 57, 60, 64, 72, 76, 80, 90, 95, 96, 114, 120, 144, 152, 160, 171, 180, 190, 192, 228, 240, 285, 288, 304, 320, 342, 360, 380, 456, 480, 570, 576, 608, 684, 720, 760, 855, 912, 960, 1140, 1216, 1368, 1440, 1520, 1710, 1824, 2280, 2736, 2880, 3040, 3420, 3648, 4560, 5472, 6080, 6840, 9120, 10944, 13680, 18240, 27360
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 54711 and 54720. The biggest common factor number is the GCF number.
So the greatest common factor 54711 and 54720 is 9.
Also check out the Least Common Multiple of 54711 and 54720
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