Greatest Common Factor of 140 and 147
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 140, 147 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 140 and 147 is 7.
GCF(140,147) = 7
GCF of 140 and 147
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 140 and 147 by prime factorization method
- Greatest Common Factor of 140 and 147 by matching factors method
GCF of 140 and 147 is 7
Prime Factorization of 140
| 2 | 140 |
| 2 | 70 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 140 are 2,5,7. Prime factorization of 140 in exponential form is:
140 = 22×51×71
Prime Factorization of 147
| 3 | 147 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 147 are 3,7. Prime factorization of 147 in exponential form is:
147 = 31×72
∴ So by taking common prime factors GCF of 140 and 147 is 7
Greatest Common Factor of 140 and 147 by matching factors method
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Greatest Common Factor
We found the factors and prime factorization of 140 and 147. The biggest common factor number is the GCF number.
So the greatest common factor 140 and 147 is 7.
Also check out the Least Common Multiple of 140 and 147
Properties of GCF 140 and 147
(i) The GCF of 140 and 147 is associative
GCF of 140 and 147 = GCF of 147 and 140
Related Greatest Common Factor of 140
Related Greatest Common Factor of 147
Frequently Asked Questions on GCF of 140 and 147
1. What is the GCF of 140 and 147?
Answer: GCF of 140 and 147 is 7.
2. What are the Factors of 140?
Answer: Factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140. There are 12 integers that are factors of 140. The greatest factor of 140 is 140.
3. What are the Factors of 147?
Answer: Factors of 147 are 1, 3, 7, 21, 49, 147. There are 6 integers that are factors of 147. The greatest factor of 147 is 147.
4. How to Find the GCF of 140 and 147?
Answer:
Greatest Common Factor of 140 and 147 = 7
Step 1: Find the prime factorization of 140
140 = 2 x 2 x 5 x 7
Step 2: Find the prime factorization of 147
147 = 3 x 7 x 7
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 140 and 147 is 7