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 6965, 6972 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6965 and 6972 is 7.
GCF(6965,6972) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6965
5 | 6965 |
7 | 1393 |
199 | 199 |
1 |
Prime factors of 6965 are 5,7,199. Prime factorization of 6965 in exponential form is:
6965 = 51×71×1991
Prime Factorization of 6972
2 | 6972 |
2 | 3486 |
3 | 1743 |
7 | 581 |
83 | 83 |
1 |
Prime factors of 6972 are 2,3,7,83. Prime factorization of 6972 in exponential form is:
6972 = 22×31×71×831
∴ So by taking common prime factors GCF of 6965 and 6972 is 7
Factors of 6965
List of positive integer factors of 6965 that divides 6965 without a remainder.
1,5,7,35,199,995,1393,6965
Factors of 6972
List of positive integer factors of 6972 that divides 6972 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,83,84,166,249,332,498,581,996,1162,1743,2324,3486,6972
Greatest Common Factor
We found the factors and prime factorization of 6965 and 6972. The biggest common factor number is the GCF number.
So the greatest common factor 6965 and 6972 is 7.
Also check out the Least Common Multiple of 6965 and 6972
(i) The GCF of 6965 and 6972 is associative
GCF of 6965 and 6972 = GCF of 6972 and 6965
1. What is the GCF of 6965 and 6972?
Answer: GCF of 6965 and 6972 is 7.
2. What are the Factors of 6965?
Answer: Factors of 6965 are 1, 5, 7, 35, 199, 995, 1393, 6965. There are 8 integers that are factors of 6965. The greatest factor of 6965 is 6965.
3. What are the Factors of 6972?
Answer: Factors of 6972 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332, 498, 581, 996, 1162, 1743, 2324, 3486, 6972. There are 24 integers that are factors of 6972. The greatest factor of 6972 is 6972.
4. How to Find the GCF of 6965 and 6972?
Answer:
Greatest Common Factor of 6965 and 6972 = 7
Step 1: Find the prime factorization of 6965
6965 = 5 x 7 x 199
Step 2: Find the prime factorization of 6972
6972 = 2 x 2 x 3 x 7 x 83
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 6965 and 6972 is 7