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 8972, 8979 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8972 and 8979 is 1.
GCF(8972,8979) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8972
2 | 8972 |
2 | 4486 |
2243 | 2243 |
1 |
Prime factors of 8972 are 2,2243. Prime factorization of 8972 in exponential form is:
8972 = 22×22431
Prime Factorization of 8979
3 | 8979 |
41 | 2993 |
73 | 73 |
1 |
Prime factors of 8979 are 3,41,73. Prime factorization of 8979 in exponential form is:
8979 = 31×411×731
∴ So by taking common prime factors GCF of 8972 and 8979 is 1
Factors of 8972
List of positive integer factors of 8972 that divides 8972 without a remainder.
1,2,4,2243,4486,8972
Factors of 8979
List of positive integer factors of 8979 that divides 8979 without a remainder.
1,3,41,73,123,219,2993,8979
Greatest Common Factor
We found the factors and prime factorization of 8972 and 8979. The biggest common factor number is the GCF number.
So the greatest common factor 8972 and 8979 is 1.
Also check out the Least Common Multiple of 8972 and 8979
(i) The GCF of 8972 and 8979 is associative
GCF of 8972 and 8979 = GCF of 8979 and 8972
1. What is the GCF of 8972 and 8979?
Answer: GCF of 8972 and 8979 is 1.
2. What are the Factors of 8972?
Answer: Factors of 8972 are 1, 2, 4, 2243, 4486, 8972. There are 6 integers that are factors of 8972. The greatest factor of 8972 is 8972.
3. What are the Factors of 8979?
Answer: Factors of 8979 are 1, 3, 41, 73, 123, 219, 2993, 8979. There are 8 integers that are factors of 8979. The greatest factor of 8979 is 8979.
4. How to Find the GCF of 8972 and 8979?
Answer:
Greatest Common Factor of 8972 and 8979 = 1
Step 1: Find the prime factorization of 8972
8972 = 2 x 2 x 2243
Step 2: Find the prime factorization of 8979
8979 = 3 x 41 x 73
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 8972 and 8979 is 1