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 1968, 1970 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1968 and 1970 is 2.
GCF(1968,1970) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1968
2 | 1968 |
2 | 984 |
2 | 492 |
2 | 246 |
3 | 123 |
41 | 41 |
1 |
Prime factors of 1968 are 2,3,41. Prime factorization of 1968 in exponential form is:
1968 = 24×31×411
Prime Factorization of 1970
2 | 1970 |
5 | 985 |
197 | 197 |
1 |
Prime factors of 1970 are 2,5,197. Prime factorization of 1970 in exponential form is:
1970 = 21×51×1971
∴ So by taking common prime factors GCF of 1968 and 1970 is 2
Factors of 1968
List of positive integer factors of 1968 that divides 1968 without a remainder.
1,2,3,4,6,8,12,16,24,41,48,82,123,164,246,328,492,656,984,1968
Factors of 1970
List of positive integer factors of 1970 that divides 1970 without a remainder.
1,2,5,10,197,394,985,1970
Greatest Common Factor
We found the factors and prime factorization of 1968 and 1970. The biggest common factor number is the GCF number.
So the greatest common factor 1968 and 1970 is 2.
Also check out the Least Common Multiple of 1968 and 1970
(i) The GCF of 1968 and 1970 is associative
GCF of 1968 and 1970 = GCF of 1970 and 1968
1. What is the GCF of 1968 and 1970?
Answer: GCF of 1968 and 1970 is 2.
2. What are the Factors of 1968?
Answer: Factors of 1968 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 41, 48, 82, 123, 164, 246, 328, 492, 656, 984, 1968. There are 20 integers that are factors of 1968. The greatest factor of 1968 is 1968.
3. What are the Factors of 1970?
Answer: Factors of 1970 are 1, 2, 5, 10, 197, 394, 985, 1970. There are 8 integers that are factors of 1970. The greatest factor of 1970 is 1970.
4. How to Find the GCF of 1968 and 1970?
Answer:
Greatest Common Factor of 1968 and 1970 = 2
Step 1: Find the prime factorization of 1968
1968 = 2 x 2 x 2 x 2 x 3 x 41
Step 2: Find the prime factorization of 1970
1970 = 2 x 5 x 197
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1968 and 1970 is 2