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 1976, 1980 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1976 and 1980 is 4.
GCF(1976,1980) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1976
2 | 1976 |
2 | 988 |
2 | 494 |
13 | 247 |
19 | 19 |
1 |
Prime factors of 1976 are 2,13,19. Prime factorization of 1976 in exponential form is:
1976 = 23×131×191
Prime Factorization of 1980
2 | 1980 |
2 | 990 |
3 | 495 |
3 | 165 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 1980 are 2,3,5,11. Prime factorization of 1980 in exponential form is:
1980 = 22×32×51×111
∴ So by taking common prime factors GCF of 1976 and 1980 is 4
Factors of 1976
List of positive integer factors of 1976 that divides 1976 without a remainder.
1,2,4,8,13,19,26,38,52,76,104,152,247,494,988,1976
Factors of 1980
List of positive integer factors of 1980 that divides 1980 without a remainder.
1,2,3,4,5,6,9,10,11,12,15,18,20,22,30,33,36,44,45,55,60,66,90,99,110,132,165,180,198,220,330,396,495,660,990,1980
Greatest Common Factor
We found the factors and prime factorization of 1976 and 1980. The biggest common factor number is the GCF number.
So the greatest common factor 1976 and 1980 is 4.
Also check out the Least Common Multiple of 1976 and 1980
(i) The GCF of 1976 and 1980 is associative
GCF of 1976 and 1980 = GCF of 1980 and 1976
1. What is the GCF of 1976 and 1980?
Answer: GCF of 1976 and 1980 is 4.
2. What are the Factors of 1976?
Answer: Factors of 1976 are 1, 2, 4, 8, 13, 19, 26, 38, 52, 76, 104, 152, 247, 494, 988, 1976. There are 16 integers that are factors of 1976. The greatest factor of 1976 is 1976.
3. What are the Factors of 1980?
Answer: Factors of 1980 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 165, 180, 198, 220, 330, 396, 495, 660, 990, 1980. There are 36 integers that are factors of 1980. The greatest factor of 1980 is 1980.
4. How to Find the GCF of 1976 and 1980?
Answer:
Greatest Common Factor of 1976 and 1980 = 4
Step 1: Find the prime factorization of 1976
1976 = 2 x 2 x 2 x 13 x 19
Step 2: Find the prime factorization of 1980
1980 = 2 x 2 x 3 x 3 x 5 x 11
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 1976 and 1980 is 4