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 10102, 10107 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10102 and 10107 is 1.
GCF(10102,10107) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10102
2 | 10102 |
5051 | 5051 |
1 |
Prime factors of 10102 are 2,5051. Prime factorization of 10102 in exponential form is:
10102 = 21×50511
Prime Factorization of 10107
3 | 10107 |
3 | 3369 |
1123 | 1123 |
1 |
Prime factors of 10107 are 3,1123. Prime factorization of 10107 in exponential form is:
10107 = 32×11231
∴ So by taking common prime factors GCF of 10102 and 10107 is 1
Factors of 10102
List of positive integer factors of 10102 that divides 10102 without a remainder.
1,2,5051,10102
Factors of 10107
List of positive integer factors of 10107 that divides 10107 without a remainder.
1,3,9,1123,3369,10107
Greatest Common Factor
We found the factors and prime factorization of 10102 and 10107. The biggest common factor number is the GCF number.
So the greatest common factor 10102 and 10107 is 1.
Also check out the Least Common Multiple of 10102 and 10107
(i) The GCF of 10102 and 10107 is associative
GCF of 10102 and 10107 = GCF of 10107 and 10102
1. What is the GCF of 10102 and 10107?
Answer: GCF of 10102 and 10107 is 1.
2. What are the Factors of 10102?
Answer: Factors of 10102 are 1, 2, 5051, 10102. There are 4 integers that are factors of 10102. The greatest factor of 10102 is 10102.
3. What are the Factors of 10107?
Answer: Factors of 10107 are 1, 3, 9, 1123, 3369, 10107. There are 6 integers that are factors of 10107. The greatest factor of 10107 is 10107.
4. How to Find the GCF of 10102 and 10107?
Answer:
Greatest Common Factor of 10102 and 10107 = 1
Step 1: Find the prime factorization of 10102
10102 = 2 x 5051
Step 2: Find the prime factorization of 10107
10107 = 3 x 3 x 1123
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 10102 and 10107 is 1