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 107, 108 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 107 and 108 is 1.
GCF(107,108) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 107
107 | 107 |
1 |
Prime factors of 107 are 107. Prime factorization of 107 in exponential form is:
107 = 1071
Prime Factorization of 108
2 | 108 |
2 | 54 |
3 | 27 |
3 | 9 |
3 | 3 |
1 |
Prime factors of 108 are 2.Prime factorization of 108 in exponential form is:
108 = 22×33
∴ So by taking common prime factors GCF of 107 and 108 is 1
Factors of 107
List of positive integer factors of 107 that divides 107 without a remainder.
1,107
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Greatest Common Factor
We found the factors and prime factorization of 107 and 108. The biggest common factor number is the GCF number.
So the greatest common factor 107 and 108 is 1.
Also check out the Least Common Multiple of 107 and 108
(i) The GCF of 107 and 108 is associative
GCF of 107 and 108 = GCF of 108 and 107
1. What is the GCF of 107 and 108?
Answer: GCF of 107 and 108 is 1.
2. What are the Factors of 107?
Answer: Factors of 107 are 1, 107. There are 2 integers that are factors of 107. The greatest factor of 107 is 107.
3. What are the Factors of 108?
Answer: Factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108. There are 12 integers that are factors of 108. The greatest factor of 108 is 108.
4. How to Find the GCF of 107 and 108?
Answer:
Greatest Common Factor of 107 and 108 = 1
Step 1: Find the prime factorization of 107
107 = 107
Step 2: Find the prime factorization of 108
108 = 2 x 2 x 3 x 3 x 3
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 107 and 108 is 1