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 35231, 35236 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 35231 and 35236 is 1.
GCF(35231,35236) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 35231
7 | 35231 |
7 | 5033 |
719 | 719 |
1 |
Prime factors of 35231 are 7,719. Prime factorization of 35231 in exponential form is:
35231 = 72×7191
Prime Factorization of 35236
2 | 35236 |
2 | 17618 |
23 | 8809 |
383 | 383 |
1 |
Prime factors of 35236 are 2,23,383. Prime factorization of 35236 in exponential form is:
35236 = 22×231×3831
∴ So by taking common prime factors GCF of 35231 and 35236 is 1
Factors of 35231
List of positive integer factors of 35231 that divides 35231 without a remainder.
1,7,49,719,5033,35231
Factors of 35236
List of positive integer factors of 35236 that divides 35236 without a remainder.
1,2,4,23,46,92,383,766,1532,8809,17618,35236
Greatest Common Factor
We found the factors and prime factorization of 35231 and 35236. The biggest common factor number is the GCF number.
So the greatest common factor 35231 and 35236 is 1.
Also check out the Least Common Multiple of 35231 and 35236
(i) The GCF of 35231 and 35236 is associative
GCF of 35231 and 35236 = GCF of 35236 and 35231
1. What is the GCF of 35231 and 35236?
Answer: GCF of 35231 and 35236 is 1.
2. What are the Factors of 35231?
Answer: Factors of 35231 are 1, 7, 49, 719, 5033, 35231. There are 6 integers that are factors of 35231. The greatest factor of 35231 is 35231.
3. What are the Factors of 35236?
Answer: Factors of 35236 are 1, 2, 4, 23, 46, 92, 383, 766, 1532, 8809, 17618, 35236. There are 12 integers that are factors of 35236. The greatest factor of 35236 is 35236.
4. How to Find the GCF of 35231 and 35236?
Answer:
Greatest Common Factor of 35231 and 35236 = 1
Step 1: Find the prime factorization of 35231
35231 = 7 x 7 x 719
Step 2: Find the prime factorization of 35236
35236 = 2 x 2 x 23 x 383
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 35231 and 35236 is 1