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 6952, 6957 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6952 and 6957 is 1.
GCF(6952,6957) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6952
2 | 6952 |
2 | 3476 |
2 | 1738 |
11 | 869 |
79 | 79 |
1 |
Prime factors of 6952 are 2,11,79. Prime factorization of 6952 in exponential form is:
6952 = 23×111×791
Prime Factorization of 6957
3 | 6957 |
3 | 2319 |
773 | 773 |
1 |
Prime factors of 6957 are 3,773. Prime factorization of 6957 in exponential form is:
6957 = 32×7731
∴ So by taking common prime factors GCF of 6952 and 6957 is 1
Factors of 6952
List of positive integer factors of 6952 that divides 6952 without a remainder.
1,2,4,8,11,22,44,79,88,158,316,632,869,1738,3476,6952
Factors of 6957
List of positive integer factors of 6957 that divides 6957 without a remainder.
1,3,9,773,2319,6957
Greatest Common Factor
We found the factors and prime factorization of 6952 and 6957. The biggest common factor number is the GCF number.
So the greatest common factor 6952 and 6957 is 1.
Also check out the Least Common Multiple of 6952 and 6957
(i) The GCF of 6952 and 6957 is associative
GCF of 6952 and 6957 = GCF of 6957 and 6952
1. What is the GCF of 6952 and 6957?
Answer: GCF of 6952 and 6957 is 1.
2. What are the Factors of 6952?
Answer: Factors of 6952 are 1, 2, 4, 8, 11, 22, 44, 79, 88, 158, 316, 632, 869, 1738, 3476, 6952. There are 16 integers that are factors of 6952. The greatest factor of 6952 is 6952.
3. What are the Factors of 6957?
Answer: Factors of 6957 are 1, 3, 9, 773, 2319, 6957. There are 6 integers that are factors of 6957. The greatest factor of 6957 is 6957.
4. How to Find the GCF of 6952 and 6957?
Answer:
Greatest Common Factor of 6952 and 6957 = 1
Step 1: Find the prime factorization of 6952
6952 = 2 x 2 x 2 x 11 x 79
Step 2: Find the prime factorization of 6957
6957 = 3 x 3 x 773
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 6952 and 6957 is 1