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 3131, 3139 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3131 and 3139 is 1.
GCF(3131,3139) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3131
31 | 3131 |
101 | 101 |
1 |
Prime factors of 3131 are 31,101. Prime factorization of 3131 in exponential form is:
3131 = 311×1011
Prime Factorization of 3139
43 | 3139 |
73 | 73 |
1 |
Prime factors of 3139 are 43,73. Prime factorization of 3139 in exponential form is:
3139 = 431×731
∴ So by taking common prime factors GCF of 3131 and 3139 is 1
Factors of 3131
List of positive integer factors of 3131 that divides 3131 without a remainder.
1,31,101,3131
Factors of 3139
List of positive integer factors of 3139 that divides 3139 without a remainder.
1,43,73,3139
Greatest Common Factor
We found the factors and prime factorization of 3131 and 3139. The biggest common factor number is the GCF number.
So the greatest common factor 3131 and 3139 is 1.
Also check out the Least Common Multiple of 3131 and 3139
(i) The GCF of 3131 and 3139 is associative
GCF of 3131 and 3139 = GCF of 3139 and 3131
1. What is the GCF of 3131 and 3139?
Answer: GCF of 3131 and 3139 is 1.
2. What are the Factors of 3131?
Answer: Factors of 3131 are 1, 31, 101, 3131. There are 4 integers that are factors of 3131. The greatest factor of 3131 is 3131.
3. What are the Factors of 3139?
Answer: Factors of 3139 are 1, 43, 73, 3139. There are 4 integers that are factors of 3139. The greatest factor of 3139 is 3139.
4. How to Find the GCF of 3131 and 3139?
Answer:
Greatest Common Factor of 3131 and 3139 = 1
Step 1: Find the prime factorization of 3131
3131 = 31 x 101
Step 2: Find the prime factorization of 3139
3139 = 43 x 73
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 3131 and 3139 is 1