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 7972, 7979 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7972 and 7979 is 1.
GCF(7972,7979) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7972
2 | 7972 |
2 | 3986 |
1993 | 1993 |
1 |
Prime factors of 7972 are 2,1993. Prime factorization of 7972 in exponential form is:
7972 = 22×19931
Prime Factorization of 7979
79 | 7979 |
101 | 101 |
1 |
Prime factors of 7979 are 79,101. Prime factorization of 7979 in exponential form is:
7979 = 791×1011
∴ So by taking common prime factors GCF of 7972 and 7979 is 1
Factors of 7972
List of positive integer factors of 7972 that divides 7972 without a remainder.
1,2,4,1993,3986,7972
Factors of 7979
List of positive integer factors of 7979 that divides 7979 without a remainder.
1,79,101,7979
Greatest Common Factor
We found the factors and prime factorization of 7972 and 7979. The biggest common factor number is the GCF number.
So the greatest common factor 7972 and 7979 is 1.
Also check out the Least Common Multiple of 7972 and 7979
(i) The GCF of 7972 and 7979 is associative
GCF of 7972 and 7979 = GCF of 7979 and 7972
1. What is the GCF of 7972 and 7979?
Answer: GCF of 7972 and 7979 is 1.
2. What are the Factors of 7972?
Answer: Factors of 7972 are 1, 2, 4, 1993, 3986, 7972. There are 6 integers that are factors of 7972. The greatest factor of 7972 is 7972.
3. What are the Factors of 7979?
Answer: Factors of 7979 are 1, 79, 101, 7979. There are 4 integers that are factors of 7979. The greatest factor of 7979 is 7979.
4. How to Find the GCF of 7972 and 7979?
Answer:
Greatest Common Factor of 7972 and 7979 = 1
Step 1: Find the prime factorization of 7972
7972 = 2 x 2 x 1993
Step 2: Find the prime factorization of 7979
7979 = 79 x 101
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 7972 and 7979 is 1