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 6976, 6980 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6976 and 6980 is 4.
GCF(6976,6980) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6976
2 | 6976 |
2 | 3488 |
2 | 1744 |
2 | 872 |
2 | 436 |
2 | 218 |
109 | 109 |
1 |
Prime factors of 6976 are 2,109. Prime factorization of 6976 in exponential form is:
6976 = 26×1091
Prime Factorization of 6980
2 | 6980 |
2 | 3490 |
5 | 1745 |
349 | 349 |
1 |
Prime factors of 6980 are 2,5,349. Prime factorization of 6980 in exponential form is:
6980 = 22×51×3491
∴ So by taking common prime factors GCF of 6976 and 6980 is 4
Factors of 6976
List of positive integer factors of 6976 that divides 6976 without a remainder.
1,2,4,8,16,32,64,109,218,436,872,1744,3488,6976
Factors of 6980
List of positive integer factors of 6980 that divides 6980 without a remainder.
1,2,4,5,10,20,349,698,1396,1745,3490,6980
Greatest Common Factor
We found the factors and prime factorization of 6976 and 6980. The biggest common factor number is the GCF number.
So the greatest common factor 6976 and 6980 is 4.
Also check out the Least Common Multiple of 6976 and 6980
(i) The GCF of 6976 and 6980 is associative
GCF of 6976 and 6980 = GCF of 6980 and 6976
1. What is the GCF of 6976 and 6980?
Answer: GCF of 6976 and 6980 is 4.
2. What are the Factors of 6976?
Answer: Factors of 6976 are 1, 2, 4, 8, 16, 32, 64, 109, 218, 436, 872, 1744, 3488, 6976. There are 14 integers that are factors of 6976. The greatest factor of 6976 is 6976.
3. What are the Factors of 6980?
Answer: Factors of 6980 are 1, 2, 4, 5, 10, 20, 349, 698, 1396, 1745, 3490, 6980. There are 12 integers that are factors of 6980. The greatest factor of 6980 is 6980.
4. How to Find the GCF of 6976 and 6980?
Answer:
Greatest Common Factor of 6976 and 6980 = 4
Step 1: Find the prime factorization of 6976
6976 = 2 x 2 x 2 x 2 x 2 x 2 x 109
Step 2: Find the prime factorization of 6980
6980 = 2 x 2 x 5 x 349
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 6976 and 6980 is 4