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 3944, 3948 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3944 and 3948 is 4.
GCF(3944,3948) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3944
2 | 3944 |
2 | 1972 |
2 | 986 |
17 | 493 |
29 | 29 |
1 |
Prime factors of 3944 are 2,17,29. Prime factorization of 3944 in exponential form is:
3944 = 23×171×291
Prime Factorization of 3948
2 | 3948 |
2 | 1974 |
3 | 987 |
7 | 329 |
47 | 47 |
1 |
Prime factors of 3948 are 2,3,7,47. Prime factorization of 3948 in exponential form is:
3948 = 22×31×71×471
∴ So by taking common prime factors GCF of 3944 and 3948 is 4
Factors of 3944
List of positive integer factors of 3944 that divides 3944 without a remainder.
1,2,4,8,17,29,34,58,68,116,136,232,493,986,1972,3944
Factors of 3948
List of positive integer factors of 3948 that divides 3948 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,47,84,94,141,188,282,329,564,658,987,1316,1974,3948
Greatest Common Factor
We found the factors and prime factorization of 3944 and 3948. The biggest common factor number is the GCF number.
So the greatest common factor 3944 and 3948 is 4.
Also check out the Least Common Multiple of 3944 and 3948
(i) The GCF of 3944 and 3948 is associative
GCF of 3944 and 3948 = GCF of 3948 and 3944
1. What is the GCF of 3944 and 3948?
Answer: GCF of 3944 and 3948 is 4.
2. What are the Factors of 3944?
Answer: Factors of 3944 are 1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 493, 986, 1972, 3944. There are 16 integers that are factors of 3944. The greatest factor of 3944 is 3944.
3. What are the Factors of 3948?
Answer: Factors of 3948 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974, 3948. There are 24 integers that are factors of 3948. The greatest factor of 3948 is 3948.
4. How to Find the GCF of 3944 and 3948?
Answer:
Greatest Common Factor of 3944 and 3948 = 4
Step 1: Find the prime factorization of 3944
3944 = 2 x 2 x 2 x 17 x 29
Step 2: Find the prime factorization of 3948
3948 = 2 x 2 x 3 x 7 x 47
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 3944 and 3948 is 4