Greatest Common Factor of 139 and 140
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 139, 140 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 139 and 140 is 1.
GCF(139,140) = 1
GCF of 139 and 140
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 139 and 140 by prime factorization method
- Greatest Common Factor of 139 and 140 by matching factors method
GCF of 139 and 140 is 1
Prime Factorization of 139
| 139 | 139 |
| 1 |
Prime factors of 139 are 139. Prime factorization of 139 in exponential form is:
139 = 1391
Prime Factorization of 140
| 2 | 140 |
| 2 | 70 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 140 are 2.Prime factorization of 140 in exponential form is:
140 = 22×51×71
∴ So by taking common prime factors GCF of 139 and 140 is 1
Greatest Common Factor of 139 and 140 by matching factors method
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1,139
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
Greatest Common Factor
We found the factors and prime factorization of 139 and 140. The biggest common factor number is the GCF number.
So the greatest common factor 139 and 140 is 1.
Also check out the Least Common Multiple of 139 and 140
Properties of GCF 139 and 140
(i) The GCF of 139 and 140 is associative
GCF of 139 and 140 = GCF of 140 and 139
Related Greatest Common Factor of 139
Related Greatest Common Factor of 140
Frequently Asked Questions on GCF of 139 and 140
1. What is the GCF of 139 and 140?
Answer: GCF of 139 and 140 is 1.
2. What are the Factors of 139?
Answer: Factors of 139 are 1, 139. There are 2 integers that are factors of 139. The greatest factor of 139 is 139.
3. 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.
4. How to Find the GCF of 139 and 140?
Answer:
Greatest Common Factor of 139 and 140 = 1
Step 1: Find the prime factorization of 139
139 = 139
Step 2: Find the prime factorization of 140
140 = 2 x 2 x 5 x 7
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 139 and 140 is 1
