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 3129, 3137 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3129 and 3137 is 1.
GCF(3129,3137) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3129
3 | 3129 |
7 | 1043 |
149 | 149 |
1 |
Prime factors of 3129 are 3,7,149. Prime factorization of 3129 in exponential form is:
3129 = 31×71×1491
Prime Factorization of 3137
3137 | 3137 |
1 |
Prime factors of 3137 are 3137. Prime factorization of 3137 in exponential form is:
3137 = 31371
∴ So by taking common prime factors GCF of 3129 and 3137 is 1
Factors of 3129
List of positive integer factors of 3129 that divides 3129 without a remainder.
1,3,7,21,149,447,1043,3129
Factors of 3137
List of positive integer factors of 3137 that divides 3137 without a remainder.
1,3137
Greatest Common Factor
We found the factors and prime factorization of 3129 and 3137. The biggest common factor number is the GCF number.
So the greatest common factor 3129 and 3137 is 1.
Also check out the Least Common Multiple of 3129 and 3137
(i) The GCF of 3129 and 3137 is associative
GCF of 3129 and 3137 = GCF of 3137 and 3129
1. What is the GCF of 3129 and 3137?
Answer: GCF of 3129 and 3137 is 1.
2. What are the Factors of 3129?
Answer: Factors of 3129 are 1, 3, 7, 21, 149, 447, 1043, 3129. There are 8 integers that are factors of 3129. The greatest factor of 3129 is 3129.
3. What are the Factors of 3137?
Answer: Factors of 3137 are 1, 3137. There are 2 integers that are factors of 3137. The greatest factor of 3137 is 3137.
4. How to Find the GCF of 3129 and 3137?
Answer:
Greatest Common Factor of 3129 and 3137 = 1
Step 1: Find the prime factorization of 3129
3129 = 3 x 7 x 149
Step 2: Find the prime factorization of 3137
3137 = 3137
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 3129 and 3137 is 1