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 5972, 5979 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5972 and 5979 is 1.
GCF(5972,5979) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5972
2 | 5972 |
2 | 2986 |
1493 | 1493 |
1 |
Prime factors of 5972 are 2,1493. Prime factorization of 5972 in exponential form is:
5972 = 22×14931
Prime Factorization of 5979
3 | 5979 |
1993 | 1993 |
1 |
Prime factors of 5979 are 3,1993. Prime factorization of 5979 in exponential form is:
5979 = 31×19931
∴ So by taking common prime factors GCF of 5972 and 5979 is 1
Factors of 5972
List of positive integer factors of 5972 that divides 5972 without a remainder.
1,2,4,1493,2986,5972
Factors of 5979
List of positive integer factors of 5979 that divides 5979 without a remainder.
1,3,1993,5979
Greatest Common Factor
We found the factors and prime factorization of 5972 and 5979. The biggest common factor number is the GCF number.
So the greatest common factor 5972 and 5979 is 1.
Also check out the Least Common Multiple of 5972 and 5979
(i) The GCF of 5972 and 5979 is associative
GCF of 5972 and 5979 = GCF of 5979 and 5972
1. What is the GCF of 5972 and 5979?
Answer: GCF of 5972 and 5979 is 1.
2. What are the Factors of 5972?
Answer: Factors of 5972 are 1, 2, 4, 1493, 2986, 5972. There are 6 integers that are factors of 5972. The greatest factor of 5972 is 5972.
3. What are the Factors of 5979?
Answer: Factors of 5979 are 1, 3, 1993, 5979. There are 4 integers that are factors of 5979. The greatest factor of 5979 is 5979.
4. How to Find the GCF of 5972 and 5979?
Answer:
Greatest Common Factor of 5972 and 5979 = 1
Step 1: Find the prime factorization of 5972
5972 = 2 x 2 x 1493
Step 2: Find the prime factorization of 5979
5979 = 3 x 1993
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 5972 and 5979 is 1