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 3130, 3132 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3130 and 3132 is 2.
GCF(3130,3132) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3130
2 | 3130 |
5 | 1565 |
313 | 313 |
1 |
Prime factors of 3130 are 2,5,313. Prime factorization of 3130 in exponential form is:
3130 = 21×51×3131
Prime Factorization of 3132
2 | 3132 |
2 | 1566 |
3 | 783 |
3 | 261 |
3 | 87 |
29 | 29 |
1 |
Prime factors of 3132 are 2,3,29. Prime factorization of 3132 in exponential form is:
3132 = 22×33×291
∴ So by taking common prime factors GCF of 3130 and 3132 is 2
Factors of 3130
List of positive integer factors of 3130 that divides 3130 without a remainder.
1,2,5,10,313,626,1565,3130
Factors of 3132
List of positive integer factors of 3132 that divides 3132 without a remainder.
1,2,3,4,6,9,12,18,27,29,36,54,58,87,108,116,174,261,348,522,783,1044,1566,3132
Greatest Common Factor
We found the factors and prime factorization of 3130 and 3132. The biggest common factor number is the GCF number.
So the greatest common factor 3130 and 3132 is 2.
Also check out the Least Common Multiple of 3130 and 3132
(i) The GCF of 3130 and 3132 is associative
GCF of 3130 and 3132 = GCF of 3132 and 3130
1. What is the GCF of 3130 and 3132?
Answer: GCF of 3130 and 3132 is 2.
2. What are the Factors of 3130?
Answer: Factors of 3130 are 1, 2, 5, 10, 313, 626, 1565, 3130. There are 8 integers that are factors of 3130. The greatest factor of 3130 is 3130.
3. What are the Factors of 3132?
Answer: Factors of 3132 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 1044, 1566, 3132. There are 24 integers that are factors of 3132. The greatest factor of 3132 is 3132.
4. How to Find the GCF of 3130 and 3132?
Answer:
Greatest Common Factor of 3130 and 3132 = 2
Step 1: Find the prime factorization of 3130
3130 = 2 x 5 x 313
Step 2: Find the prime factorization of 3132
3132 = 2 x 2 x 3 x 3 x 3 x 29
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 3130 and 3132 is 2