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 931, 937 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 931 and 937 is 1.
GCF(931,937) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 931
7 | 931 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 931 are 7,19. Prime factorization of 931 in exponential form is:
931 = 72×191
Prime Factorization of 937
937 | 937 |
1 |
Prime factors of 937 are 937. Prime factorization of 937 in exponential form is:
937 = 9371
∴ So by taking common prime factors GCF of 931 and 937 is 1
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Factors of 937
List of positive integer factors of 937 that divides 937 without a remainder.
1,937
Greatest Common Factor
We found the factors and prime factorization of 931 and 937. The biggest common factor number is the GCF number.
So the greatest common factor 931 and 937 is 1.
Also check out the Least Common Multiple of 931 and 937
(i) The GCF of 931 and 937 is associative
GCF of 931 and 937 = GCF of 937 and 931
1. What is the GCF of 931 and 937?
Answer: GCF of 931 and 937 is 1.
2. What are the Factors of 931?
Answer: Factors of 931 are 1, 7, 19, 49, 133, 931. There are 6 integers that are factors of 931. The greatest factor of 931 is 931.
3. What are the Factors of 937?
Answer: Factors of 937 are 1, 937. There are 2 integers that are factors of 937. The greatest factor of 937 is 937.
4. How to Find the GCF of 931 and 937?
Answer:
Greatest Common Factor of 931 and 937 = 1
Step 1: Find the prime factorization of 931
931 = 7 x 7 x 19
Step 2: Find the prime factorization of 937
937 = 937
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 931 and 937 is 1