What is the Greatest Common Factor of 19824 and 19838?
Greatest common factor (GCF) of 19824 and 19838 is 14.
GCF(19824,19838) = 14
We will now calculate the prime factors of 19824 and 19838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19824 and 19838.
How to find the GCF of 19824 and 19838?
We will first find the prime factorization of 19824 and 19838. After we will calculate the factors of 19824 and 19838 and find the biggest common factor number .
Step-1: Prime Factorization of 19824
Prime factors of 19824 are 2, 3, 7, 59. Prime factorization of 19824 in exponential form is:
19824 = 24 × 31 × 71 × 591
Step-2: Prime Factorization of 19838
Prime factors of 19838 are 2, 7, 13, 109. Prime factorization of 19838 in exponential form is:
19838 = 21 × 71 × 131 × 1091
Step-3: Factors of 19824
List of positive integer factors of 19824 that divides 19824 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 59, 84, 112, 118, 168, 177, 236, 336, 354, 413, 472, 708, 826, 944, 1239, 1416, 1652, 2478, 2832, 3304, 4956, 6608, 9912
Step-4: Factors of 19838
List of positive integer factors of 19838 that divides 19824 without a remainder.
1, 2, 7, 13, 14, 26, 91, 109, 182, 218, 763, 1417, 1526, 2834, 9919
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 19824 and 19838. The biggest common factor number is the GCF number.
So the greatest common factor 19824 and 19838 is 14.
Also check out the Least Common Multiple of 19824 and 19838
Related Greatest Common Factors of 19824
- GCF of 19824 and 19828
- GCF of 19824 and 19829
- GCF of 19824 and 19830
- GCF of 19824 and 19831
- GCF of 19824 and 19832
- GCF of 19824 and 19833
- GCF of 19824 and 19834
- GCF of 19824 and 19835
- GCF of 19824 and 19836
- GCF of 19824 and 19837
- GCF of 19824 and 19838
- GCF of 19824 and 19839
- GCF of 19824 and 19840
- GCF of 19824 and 19841
- GCF of 19824 and 19842
- GCF of 19824 and 19843
- GCF of 19824 and 19844
Related Greatest Common Factors of 19838
- GCF of 19838 and 19842
- GCF of 19838 and 19843
- GCF of 19838 and 19844
- GCF of 19838 and 19845
- GCF of 19838 and 19846
- GCF of 19838 and 19847
- GCF of 19838 and 19848
- GCF of 19838 and 19849
- GCF of 19838 and 19850
- GCF of 19838 and 19851
- GCF of 19838 and 19852
- GCF of 19838 and 19853
- GCF of 19838 and 19854
- GCF of 19838 and 19855
- GCF of 19838 and 19856
- GCF of 19838 and 19857
- GCF of 19838 and 19858