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, 35237 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 35231 and 35237 is 1.
GCF(35231,35237) = 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 35237
167 | 35237 |
211 | 211 |
1 |
Prime factors of 35237 are 167,211. Prime factorization of 35237 in exponential form is:
35237 = 1671×2111
∴ So by taking common prime factors GCF of 35231 and 35237 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 35237
List of positive integer factors of 35237 that divides 35237 without a remainder.
1,167,211,35237
Greatest Common Factor
We found the factors and prime factorization of 35231 and 35237. The biggest common factor number is the GCF number.
So the greatest common factor 35231 and 35237 is 1.
Also check out the Least Common Multiple of 35231 and 35237
(i) The GCF of 35231 and 35237 is associative
GCF of 35231 and 35237 = GCF of 35237 and 35231
1. What is the GCF of 35231 and 35237?
Answer: GCF of 35231 and 35237 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 35237?
Answer: Factors of 35237 are 1, 167, 211, 35237. There are 4 integers that are factors of 35237. The greatest factor of 35237 is 35237.
4. How to Find the GCF of 35231 and 35237?
Answer:
Greatest Common Factor of 35231 and 35237 = 1
Step 1: Find the prime factorization of 35231
35231 = 7 x 7 x 719
Step 2: Find the prime factorization of 35237
35237 = 167 x 211
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 35237 is 1