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 1940, 1948 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1940 and 1948 is 4.
GCF(1940,1948) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1940
2 | 1940 |
2 | 970 |
5 | 485 |
97 | 97 |
1 |
Prime factors of 1940 are 2,5,97. Prime factorization of 1940 in exponential form is:
1940 = 22×51×971
Prime Factorization of 1948
2 | 1948 |
2 | 974 |
487 | 487 |
1 |
Prime factors of 1948 are 2,487. Prime factorization of 1948 in exponential form is:
1948 = 22×4871
∴ So by taking common prime factors GCF of 1940 and 1948 is 4
Factors of 1940
List of positive integer factors of 1940 that divides 1940 without a remainder.
1,2,4,5,10,20,97,194,388,485,970,1940
Factors of 1948
List of positive integer factors of 1948 that divides 1948 without a remainder.
1,2,4,487,974,1948
Greatest Common Factor
We found the factors and prime factorization of 1940 and 1948. The biggest common factor number is the GCF number.
So the greatest common factor 1940 and 1948 is 4.
Also check out the Least Common Multiple of 1940 and 1948
(i) The GCF of 1940 and 1948 is associative
GCF of 1940 and 1948 = GCF of 1948 and 1940
1. What is the GCF of 1940 and 1948?
Answer: GCF of 1940 and 1948 is 4.
2. What are the Factors of 1940?
Answer: Factors of 1940 are 1, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970, 1940. There are 12 integers that are factors of 1940. The greatest factor of 1940 is 1940.
3. What are the Factors of 1948?
Answer: Factors of 1948 are 1, 2, 4, 487, 974, 1948. There are 6 integers that are factors of 1948. The greatest factor of 1948 is 1948.
4. How to Find the GCF of 1940 and 1948?
Answer:
Greatest Common Factor of 1940 and 1948 = 4
Step 1: Find the prime factorization of 1940
1940 = 2 x 2 x 5 x 97
Step 2: Find the prime factorization of 1948
1948 = 2 x 2 x 487
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 1940 and 1948 is 4