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 2969, 2970 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2969 and 2970 is 1.
GCF(2969,2970) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2969
2969 | 2969 |
1 |
Prime factors of 2969 are 2969. Prime factorization of 2969 in exponential form is:
2969 = 29691
Prime Factorization of 2970
2 | 2970 |
3 | 1485 |
3 | 495 |
3 | 165 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 2970 are 2.Prime factorization of 2970 in exponential form is:
2970 = 21×33×51×111
∴ So by taking common prime factors GCF of 2969 and 2970 is 1
Factors of 2969
List of positive integer factors of 2969 that divides 2969 without a remainder.
1,2969
Factors of 2970
List of positive integer factors of 2970 that divides 2970 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970
Greatest Common Factor
We found the factors and prime factorization of 2969 and 2970. The biggest common factor number is the GCF number.
So the greatest common factor 2969 and 2970 is 1.
Also check out the Least Common Multiple of 2969 and 2970
(i) The GCF of 2969 and 2970 is associative
GCF of 2969 and 2970 = GCF of 2970 and 2969
1. What is the GCF of 2969 and 2970?
Answer: GCF of 2969 and 2970 is 1.
2. What are the Factors of 2969?
Answer: Factors of 2969 are 1, 2969. There are 2 integers that are factors of 2969. The greatest factor of 2969 is 2969.
3. What are the Factors of 2970?
Answer: Factors of 2970 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485, 2970. There are 32 integers that are factors of 2970. The greatest factor of 2970 is 2970.
4. How to Find the GCF of 2969 and 2970?
Answer:
Greatest Common Factor of 2969 and 2970 = 1
Step 1: Find the prime factorization of 2969
2969 = 2969
Step 2: Find the prime factorization of 2970
2970 = 2 x 3 x 3 x 3 x 5 x 11
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 2969 and 2970 is 1