What is the Greatest Common Factor of 46816 and 46830?
Greatest common factor (GCF) of 46816 and 46830 is 14.
GCF(46816,46830) = 14
We will now calculate the prime factors of 46816 and 46830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46816 and 46830.
How to find the GCF of 46816 and 46830?
We will first find the prime factorization of 46816 and 46830. After we will calculate the factors of 46816 and 46830 and find the biggest common factor number .
Step-1: Prime Factorization of 46816
Prime factors of 46816 are 2, 7, 11, 19. Prime factorization of 46816 in exponential form is:
46816 = 25 × 71 × 111 × 191
Step-2: Prime Factorization of 46830
Prime factors of 46830 are 2, 3, 5, 7, 223. Prime factorization of 46830 in exponential form is:
46830 = 21 × 31 × 51 × 71 × 2231
Step-3: Factors of 46816
List of positive integer factors of 46816 that divides 46816 without a remainder.
1, 2, 4, 7, 8, 11, 14, 16, 19, 22, 28, 32, 38, 44, 56, 76, 77, 88, 112, 133, 152, 154, 176, 209, 224, 266, 304, 308, 352, 418, 532, 608, 616, 836, 1064, 1232, 1463, 1672, 2128, 2464, 2926, 3344, 4256, 5852, 6688, 11704, 23408
Step-4: Factors of 46830
List of positive integer factors of 46830 that divides 46816 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 223, 446, 669, 1115, 1338, 1561, 2230, 3122, 3345, 4683, 6690, 7805, 9366, 15610, 23415
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 46816 and 46830. The biggest common factor number is the GCF number.
So the greatest common factor 46816 and 46830 is 14.
Also check out the Least Common Multiple of 46816 and 46830
Related Greatest Common Factors of 46816
- GCF of 46816 and 46820
- GCF of 46816 and 46821
- GCF of 46816 and 46822
- GCF of 46816 and 46823
- GCF of 46816 and 46824
- GCF of 46816 and 46825
- GCF of 46816 and 46826
- GCF of 46816 and 46827
- GCF of 46816 and 46828
- GCF of 46816 and 46829
- GCF of 46816 and 46830
- GCF of 46816 and 46831
- GCF of 46816 and 46832
- GCF of 46816 and 46833
- GCF of 46816 and 46834
- GCF of 46816 and 46835
- GCF of 46816 and 46836
Related Greatest Common Factors of 46830
- GCF of 46830 and 46834
- GCF of 46830 and 46835
- GCF of 46830 and 46836
- GCF of 46830 and 46837
- GCF of 46830 and 46838
- GCF of 46830 and 46839
- GCF of 46830 and 46840
- GCF of 46830 and 46841
- GCF of 46830 and 46842
- GCF of 46830 and 46843
- GCF of 46830 and 46844
- GCF of 46830 and 46845
- GCF of 46830 and 46846
- GCF of 46830 and 46847
- GCF of 46830 and 46848
- GCF of 46830 and 46849
- GCF of 46830 and 46850