What is the Greatest Common Factor of 47703 and 47712?
Greatest common factor (GCF) of 47703 and 47712 is 3.
GCF(47703,47712) = 3
We will now calculate the prime factors of 47703 and 47712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47703 and 47712.
How to find the GCF of 47703 and 47712?
We will first find the prime factorization of 47703 and 47712. After we will calculate the factors of 47703 and 47712 and find the biggest common factor number .
Step-1: Prime Factorization of 47703
Prime factors of 47703 are 3, 15901. Prime factorization of 47703 in exponential form is:
47703 = 31 × 159011
Step-2: Prime Factorization of 47712
Prime factors of 47712 are 2, 3, 7, 71. Prime factorization of 47712 in exponential form is:
47712 = 25 × 31 × 71 × 711
Step-3: Factors of 47703
List of positive integer factors of 47703 that divides 47703 without a remainder.
1, 3, 15901
Step-4: Factors of 47712
List of positive integer factors of 47712 that divides 47703 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 71, 84, 96, 112, 142, 168, 213, 224, 284, 336, 426, 497, 568, 672, 852, 994, 1136, 1491, 1704, 1988, 2272, 2982, 3408, 3976, 5964, 6816, 7952, 11928, 15904, 23856
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 47703 and 47712. The biggest common factor number is the GCF number.
So the greatest common factor 47703 and 47712 is 3.
Also check out the Least Common Multiple of 47703 and 47712
Related Greatest Common Factors of 47703
- GCF of 47703 and 47707
- GCF of 47703 and 47708
- GCF of 47703 and 47709
- GCF of 47703 and 47710
- GCF of 47703 and 47711
- GCF of 47703 and 47712
- GCF of 47703 and 47713
- GCF of 47703 and 47714
- GCF of 47703 and 47715
- GCF of 47703 and 47716
- GCF of 47703 and 47717
- GCF of 47703 and 47718
- GCF of 47703 and 47719
- GCF of 47703 and 47720
- GCF of 47703 and 47721
- GCF of 47703 and 47722
- GCF of 47703 and 47723
Related Greatest Common Factors of 47712
- GCF of 47712 and 47716
- GCF of 47712 and 47717
- GCF of 47712 and 47718
- GCF of 47712 and 47719
- GCF of 47712 and 47720
- GCF of 47712 and 47721
- GCF of 47712 and 47722
- GCF of 47712 and 47723
- GCF of 47712 and 47724
- GCF of 47712 and 47725
- GCF of 47712 and 47726
- GCF of 47712 and 47727
- GCF of 47712 and 47728
- GCF of 47712 and 47729
- GCF of 47712 and 47730
- GCF of 47712 and 47731
- GCF of 47712 and 47732