What is the Greatest Common Factor of 47721 and 47736?
Greatest common factor (GCF) of 47721 and 47736 is 3.
GCF(47721,47736) = 3
We will now calculate the prime factors of 47721 and 47736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47721 and 47736.
How to find the GCF of 47721 and 47736?
We will first find the prime factorization of 47721 and 47736. After we will calculate the factors of 47721 and 47736 and find the biggest common factor number .
Step-1: Prime Factorization of 47721
Prime factors of 47721 are 3, 15907. Prime factorization of 47721 in exponential form is:
47721 = 31 × 159071
Step-2: Prime Factorization of 47736
Prime factors of 47736 are 2, 3, 13, 17. Prime factorization of 47736 in exponential form is:
47736 = 23 × 33 × 131 × 171
Step-3: Factors of 47721
List of positive integer factors of 47721 that divides 47721 without a remainder.
1, 3, 15907
Step-4: Factors of 47736
List of positive integer factors of 47736 that divides 47721 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 17, 18, 24, 26, 27, 34, 36, 39, 51, 52, 54, 68, 72, 78, 102, 104, 108, 117, 136, 153, 156, 204, 216, 221, 234, 306, 312, 351, 408, 442, 459, 468, 612, 663, 702, 884, 918, 936, 1224, 1326, 1404, 1768, 1836, 1989, 2652, 2808, 3672, 3978, 5304, 5967, 7956, 11934, 15912, 23868
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 47721 and 47736. The biggest common factor number is the GCF number.
So the greatest common factor 47721 and 47736 is 3.
Also check out the Least Common Multiple of 47721 and 47736
Related Greatest Common Factors of 47721
- GCF of 47721 and 47725
- GCF of 47721 and 47726
- GCF of 47721 and 47727
- GCF of 47721 and 47728
- GCF of 47721 and 47729
- GCF of 47721 and 47730
- GCF of 47721 and 47731
- GCF of 47721 and 47732
- GCF of 47721 and 47733
- GCF of 47721 and 47734
- GCF of 47721 and 47735
- GCF of 47721 and 47736
- GCF of 47721 and 47737
- GCF of 47721 and 47738
- GCF of 47721 and 47739
- GCF of 47721 and 47740
- GCF of 47721 and 47741
Related Greatest Common Factors of 47736
- GCF of 47736 and 47740
- GCF of 47736 and 47741
- GCF of 47736 and 47742
- GCF of 47736 and 47743
- GCF of 47736 and 47744
- GCF of 47736 and 47745
- GCF of 47736 and 47746
- GCF of 47736 and 47747
- GCF of 47736 and 47748
- GCF of 47736 and 47749
- GCF of 47736 and 47750
- GCF of 47736 and 47751
- GCF of 47736 and 47752
- GCF of 47736 and 47753
- GCF of 47736 and 47754
- GCF of 47736 and 47755
- GCF of 47736 and 47756