Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 316428, 316432 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 316428 and 316432 is 4.
GCF(316428,316432) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 316428
2 | 316428 |
2 | 158214 |
3 | 79107 |
7 | 26369 |
3767 | 3767 |
1 |
Prime factors of 316428 are 2,3,7,3767. Prime factorization of 316428 in exponential form is:
316428 = 22×31×71×37671
Prime Factorization of 316432
2 | 316432 |
2 | 158216 |
2 | 79108 |
2 | 39554 |
19777 | 19777 |
1 |
Prime factors of 316432 are 2,19777. Prime factorization of 316432 in exponential form is:
316432 = 24×197771
∴ So by taking common prime factors GCF of 316428 and 316432 is 4
Factors of 316428
List of positive integer factors of 316428 that divides 316428 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84,3767,7534,11301,15068,22602,26369,45204,52738,79107,105476,158214,316428
Factors of 316432
List of positive integer factors of 316432 that divides 316432 without a remainder.
1,2,4,8,16,19777,39554,79108,158216,316432
Greatest Common Factor
We found the factors and prime factorization of 316428 and 316432. The biggest common factor number is the GCF number.
So the greatest common factor 316428 and 316432 is 4.
Also check out the Least Common Multiple of 316428 and 316432
(i) The GCF of 316428 and 316432 is associative
GCF of 316428 and 316432 = GCF of 316432 and 316428
1. What is the GCF of 316428 and 316432?
Answer: GCF of 316428 and 316432 is 4.
2. What are the Factors of 316428?
Answer: Factors of 316428 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 3767, 7534, 11301, 15068, 22602, 26369, 45204, 52738, 79107, 105476, 158214, 316428. There are 24 integers that are factors of 316428. The greatest factor of 316428 is 316428.
3. What are the Factors of 316432?
Answer: Factors of 316432 are 1, 2, 4, 8, 16, 19777, 39554, 79108, 158216, 316432. There are 10 integers that are factors of 316432. The greatest factor of 316432 is 316432.
4. How to Find the GCF of 316428 and 316432?
Answer:
Greatest Common Factor of 316428 and 316432 = 4
Step 1: Find the prime factorization of 316428
316428 = 2 x 2 x 3 x 7 x 3767
Step 2: Find the prime factorization of 316432
316432 = 2 x 2 x 2 x 2 x 19777
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 316428 and 316432 is 4