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 874, 882 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 874 and 882 is 2.
GCF(874,882) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 874
2 | 874 |
19 | 437 |
23 | 23 |
1 |
Prime factors of 874 are 2,19,23. Prime factorization of 874 in exponential form is:
874 = 21×191×231
Prime Factorization of 882
2 | 882 |
3 | 441 |
3 | 147 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 882 are 2,3,7. Prime factorization of 882 in exponential form is:
882 = 21×32×72
∴ So by taking common prime factors GCF of 874 and 882 is 2
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Greatest Common Factor
We found the factors and prime factorization of 874 and 882. The biggest common factor number is the GCF number.
So the greatest common factor 874 and 882 is 2.
Also check out the Least Common Multiple of 874 and 882
(i) The GCF of 874 and 882 is associative
GCF of 874 and 882 = GCF of 882 and 874
1. What is the GCF of 874 and 882?
Answer: GCF of 874 and 882 is 2.
2. What are the Factors of 874?
Answer: Factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874. There are 8 integers that are factors of 874. The greatest factor of 874 is 874.
3. What are the Factors of 882?
Answer: Factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882. There are 18 integers that are factors of 882. The greatest factor of 882 is 882.
4. How to Find the GCF of 874 and 882?
Answer:
Greatest Common Factor of 874 and 882 = 2
Step 1: Find the prime factorization of 874
874 = 2 x 19 x 23
Step 2: Find the prime factorization of 882
882 = 2 x 3 x 3 x 7 x 7
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 874 and 882 is 2