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 1952, 1958 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1952 and 1958 is 2.
GCF(1952,1958) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1952
2 | 1952 |
2 | 976 |
2 | 488 |
2 | 244 |
2 | 122 |
61 | 61 |
1 |
Prime factors of 1952 are 2,61. Prime factorization of 1952 in exponential form is:
1952 = 25×611
Prime Factorization of 1958
2 | 1958 |
11 | 979 |
89 | 89 |
1 |
Prime factors of 1958 are 2,11,89. Prime factorization of 1958 in exponential form is:
1958 = 21×111×891
∴ So by taking common prime factors GCF of 1952 and 1958 is 2
Factors of 1952
List of positive integer factors of 1952 that divides 1952 without a remainder.
1,2,4,8,16,32,61,122,244,488,976,1952
Factors of 1958
List of positive integer factors of 1958 that divides 1958 without a remainder.
1,2,11,22,89,178,979,1958
Greatest Common Factor
We found the factors and prime factorization of 1952 and 1958. The biggest common factor number is the GCF number.
So the greatest common factor 1952 and 1958 is 2.
Also check out the Least Common Multiple of 1952 and 1958
(i) The GCF of 1952 and 1958 is associative
GCF of 1952 and 1958 = GCF of 1958 and 1952
1. What is the GCF of 1952 and 1958?
Answer: GCF of 1952 and 1958 is 2.
2. What are the Factors of 1952?
Answer: Factors of 1952 are 1, 2, 4, 8, 16, 32, 61, 122, 244, 488, 976, 1952. There are 12 integers that are factors of 1952. The greatest factor of 1952 is 1952.
3. What are the Factors of 1958?
Answer: Factors of 1958 are 1, 2, 11, 22, 89, 178, 979, 1958. There are 8 integers that are factors of 1958. The greatest factor of 1958 is 1958.
4. How to Find the GCF of 1952 and 1958?
Answer:
Greatest Common Factor of 1952 and 1958 = 2
Step 1: Find the prime factorization of 1952
1952 = 2 x 2 x 2 x 2 x 2 x 61
Step 2: Find the prime factorization of 1958
1958 = 2 x 11 x 89
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 1952 and 1958 is 2