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 10172, 10177 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10172 and 10177 is 1.
GCF(10172,10177) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10172
2 | 10172 |
2 | 5086 |
2543 | 2543 |
1 |
Prime factors of 10172 are 2,2543. Prime factorization of 10172 in exponential form is:
10172 = 22×25431
Prime Factorization of 10177
10177 | 10177 |
1 |
Prime factors of 10177 are 10177. Prime factorization of 10177 in exponential form is:
10177 = 101771
∴ So by taking common prime factors GCF of 10172 and 10177 is 1
Factors of 10172
List of positive integer factors of 10172 that divides 10172 without a remainder.
1,2,4,2543,5086,10172
Factors of 10177
List of positive integer factors of 10177 that divides 10177 without a remainder.
1,10177
Greatest Common Factor
We found the factors and prime factorization of 10172 and 10177. The biggest common factor number is the GCF number.
So the greatest common factor 10172 and 10177 is 1.
Also check out the Least Common Multiple of 10172 and 10177
(i) The GCF of 10172 and 10177 is associative
GCF of 10172 and 10177 = GCF of 10177 and 10172
1. What is the GCF of 10172 and 10177?
Answer: GCF of 10172 and 10177 is 1.
2. What are the Factors of 10172?
Answer: Factors of 10172 are 1, 2, 4, 2543, 5086, 10172. There are 6 integers that are factors of 10172. The greatest factor of 10172 is 10172.
3. What are the Factors of 10177?
Answer: Factors of 10177 are 1, 10177. There are 2 integers that are factors of 10177. The greatest factor of 10177 is 10177.
4. How to Find the GCF of 10172 and 10177?
Answer:
Greatest Common Factor of 10172 and 10177 = 1
Step 1: Find the prime factorization of 10172
10172 = 2 x 2 x 2543
Step 2: Find the prime factorization of 10177
10177 = 10177
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 10172 and 10177 is 1