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 1942, 1948 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1942 and 1948 is 2.
GCF(1942,1948) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1942
2 | 1942 |
971 | 971 |
1 |
Prime factors of 1942 are 2,971. Prime factorization of 1942 in exponential form is:
1942 = 21×9711
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 1942 and 1948 is 2
Factors of 1942
List of positive integer factors of 1942 that divides 1942 without a remainder.
1,2,971,1942
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 1942 and 1948. The biggest common factor number is the GCF number.
So the greatest common factor 1942 and 1948 is 2.
Also check out the Least Common Multiple of 1942 and 1948
(i) The GCF of 1942 and 1948 is associative
GCF of 1942 and 1948 = GCF of 1948 and 1942
1. What is the GCF of 1942 and 1948?
Answer: GCF of 1942 and 1948 is 2.
2. What are the Factors of 1942?
Answer: Factors of 1942 are 1, 2, 971, 1942. There are 4 integers that are factors of 1942. The greatest factor of 1942 is 1942.
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 1942 and 1948?
Answer:
Greatest Common Factor of 1942 and 1948 = 2
Step 1: Find the prime factorization of 1942
1942 = 2 x 971
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
Step 4: Therefore, the greatest common factor of 1942 and 1948 is 2