What is the Greatest Common Factor of 23712 and 23716?
Greatest common factor (GCF) of 23712 and 23716 is 4.
GCF(23712,23716) = 4
We will now calculate the prime factors of 23712 and 23716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23712 and 23716.
How to find the GCF of 23712 and 23716?
We will first find the prime factorization of 23712 and 23716. After we will calculate the factors of 23712 and 23716 and find the biggest common factor number .
Step-1: Prime Factorization of 23712
Prime factors of 23712 are 2, 3, 13, 19. Prime factorization of 23712 in exponential form is:
23712 = 25 × 31 × 131 × 191
Step-2: Prime Factorization of 23716
Prime factors of 23716 are 2, 7, 11. Prime factorization of 23716 in exponential form is:
23716 = 22 × 72 × 112
Step-3: Factors of 23712
List of positive integer factors of 23712 that divides 23712 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 19, 24, 26, 32, 38, 39, 48, 52, 57, 76, 78, 96, 104, 114, 152, 156, 208, 228, 247, 304, 312, 416, 456, 494, 608, 624, 741, 912, 988, 1248, 1482, 1824, 1976, 2964, 3952, 5928, 7904, 11856
Step-4: Factors of 23716
List of positive integer factors of 23716 that divides 23712 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 121, 154, 196, 242, 308, 484, 539, 847, 1078, 1694, 2156, 3388, 5929, 11858
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 23712 and 23716. The biggest common factor number is the GCF number.
So the greatest common factor 23712 and 23716 is 4.
Also check out the Least Common Multiple of 23712 and 23716
Related Greatest Common Factors of 23712
- GCF of 23712 and 23716
- GCF of 23712 and 23717
- GCF of 23712 and 23718
- GCF of 23712 and 23719
- GCF of 23712 and 23720
- GCF of 23712 and 23721
- GCF of 23712 and 23722
- GCF of 23712 and 23723
- GCF of 23712 and 23724
- GCF of 23712 and 23725
- GCF of 23712 and 23726
- GCF of 23712 and 23727
- GCF of 23712 and 23728
- GCF of 23712 and 23729
- GCF of 23712 and 23730
- GCF of 23712 and 23731
- GCF of 23712 and 23732
Related Greatest Common Factors of 23716
- GCF of 23716 and 23720
- GCF of 23716 and 23721
- GCF of 23716 and 23722
- GCF of 23716 and 23723
- GCF of 23716 and 23724
- GCF of 23716 and 23725
- GCF of 23716 and 23726
- GCF of 23716 and 23727
- GCF of 23716 and 23728
- GCF of 23716 and 23729
- GCF of 23716 and 23730
- GCF of 23716 and 23731
- GCF of 23716 and 23732
- GCF of 23716 and 23733
- GCF of 23716 and 23734
- GCF of 23716 and 23735
- GCF of 23716 and 23736