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 2932, 2937 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2932 and 2937 is 1.
GCF(2932,2937) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2932
2 | 2932 |
2 | 1466 |
733 | 733 |
1 |
Prime factors of 2932 are 2,733. Prime factorization of 2932 in exponential form is:
2932 = 22×7331
Prime Factorization of 2937
3 | 2937 |
11 | 979 |
89 | 89 |
1 |
Prime factors of 2937 are 3,11,89. Prime factorization of 2937 in exponential form is:
2937 = 31×111×891
∴ So by taking common prime factors GCF of 2932 and 2937 is 1
Factors of 2932
List of positive integer factors of 2932 that divides 2932 without a remainder.
1,2,4,733,1466,2932
Factors of 2937
List of positive integer factors of 2937 that divides 2937 without a remainder.
1,3,11,33,89,267,979,2937
Greatest Common Factor
We found the factors and prime factorization of 2932 and 2937. The biggest common factor number is the GCF number.
So the greatest common factor 2932 and 2937 is 1.
Also check out the Least Common Multiple of 2932 and 2937
(i) The GCF of 2932 and 2937 is associative
GCF of 2932 and 2937 = GCF of 2937 and 2932
1. What is the GCF of 2932 and 2937?
Answer: GCF of 2932 and 2937 is 1.
2. What are the Factors of 2932?
Answer: Factors of 2932 are 1, 2, 4, 733, 1466, 2932. There are 6 integers that are factors of 2932. The greatest factor of 2932 is 2932.
3. What are the Factors of 2937?
Answer: Factors of 2937 are 1, 3, 11, 33, 89, 267, 979, 2937. There are 8 integers that are factors of 2937. The greatest factor of 2937 is 2937.
4. How to Find the GCF of 2932 and 2937?
Answer:
Greatest Common Factor of 2932 and 2937 = 1
Step 1: Find the prime factorization of 2932
2932 = 2 x 2 x 733
Step 2: Find the prime factorization of 2937
2937 = 3 x 11 x 89
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 2932 and 2937 is 1