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 1956, 1964 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1956 and 1964 is 4.
GCF(1956,1964) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1956
2 | 1956 |
2 | 978 |
3 | 489 |
163 | 163 |
1 |
Prime factors of 1956 are 2,3,163. Prime factorization of 1956 in exponential form is:
1956 = 22×31×1631
Prime Factorization of 1964
2 | 1964 |
2 | 982 |
491 | 491 |
1 |
Prime factors of 1964 are 2,491. Prime factorization of 1964 in exponential form is:
1964 = 22×4911
∴ So by taking common prime factors GCF of 1956 and 1964 is 4
Factors of 1956
List of positive integer factors of 1956 that divides 1956 without a remainder.
1,2,3,4,6,12,163,326,489,652,978,1956
Factors of 1964
List of positive integer factors of 1964 that divides 1964 without a remainder.
1,2,4,491,982,1964
Greatest Common Factor
We found the factors and prime factorization of 1956 and 1964. The biggest common factor number is the GCF number.
So the greatest common factor 1956 and 1964 is 4.
Also check out the Least Common Multiple of 1956 and 1964
(i) The GCF of 1956 and 1964 is associative
GCF of 1956 and 1964 = GCF of 1964 and 1956
1. What is the GCF of 1956 and 1964?
Answer: GCF of 1956 and 1964 is 4.
2. What are the Factors of 1956?
Answer: Factors of 1956 are 1, 2, 3, 4, 6, 12, 163, 326, 489, 652, 978, 1956. There are 12 integers that are factors of 1956. The greatest factor of 1956 is 1956.
3. What are the Factors of 1964?
Answer: Factors of 1964 are 1, 2, 4, 491, 982, 1964. There are 6 integers that are factors of 1964. The greatest factor of 1964 is 1964.
4. How to Find the GCF of 1956 and 1964?
Answer:
Greatest Common Factor of 1956 and 1964 = 4
Step 1: Find the prime factorization of 1956
1956 = 2 x 2 x 3 x 163
Step 2: Find the prime factorization of 1964
1964 = 2 x 2 x 491
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 1956 and 1964 is 4