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, 2972 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2969 and 2972 is 1.
GCF(2969,2972) = 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 2972
2 | 2972 |
2 | 1486 |
743 | 743 |
1 |
Prime factors of 2972 are 2.Prime factorization of 2972 in exponential form is:
2972 = 22×7431
∴ So by taking common prime factors GCF of 2969 and 2972 is 1
Factors of 2969
List of positive integer factors of 2969 that divides 2969 without a remainder.
1,2969
Factors of 2972
List of positive integer factors of 2972 that divides 2972 without a remainder.
1,2,4,743,1486,2972
Greatest Common Factor
We found the factors and prime factorization of 2969 and 2972. The biggest common factor number is the GCF number.
So the greatest common factor 2969 and 2972 is 1.
Also check out the Least Common Multiple of 2969 and 2972
(i) The GCF of 2969 and 2972 is associative
GCF of 2969 and 2972 = GCF of 2972 and 2969
1. What is the GCF of 2969 and 2972?
Answer: GCF of 2969 and 2972 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 2972?
Answer: Factors of 2972 are 1, 2, 4, 743, 1486, 2972. There are 6 integers that are factors of 2972. The greatest factor of 2972 is 2972.
4. How to Find the GCF of 2969 and 2972?
Answer:
Greatest Common Factor of 2969 and 2972 = 1
Step 1: Find the prime factorization of 2969
2969 = 2969
Step 2: Find the prime factorization of 2972
2972 = 2 x 2 x 743
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 2972 is 1