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 4956, 4964 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4956 and 4964 is 4.
GCF(4956,4964) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4956
2 | 4956 |
2 | 2478 |
3 | 1239 |
7 | 413 |
59 | 59 |
1 |
Prime factors of 4956 are 2,3,7,59. Prime factorization of 4956 in exponential form is:
4956 = 22×31×71×591
Prime Factorization of 4964
2 | 4964 |
2 | 2482 |
17 | 1241 |
73 | 73 |
1 |
Prime factors of 4964 are 2,17,73. Prime factorization of 4964 in exponential form is:
4964 = 22×171×731
∴ So by taking common prime factors GCF of 4956 and 4964 is 4
Factors of 4956
List of positive integer factors of 4956 that divides 4956 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,59,84,118,177,236,354,413,708,826,1239,1652,2478,4956
Factors of 4964
List of positive integer factors of 4964 that divides 4964 without a remainder.
1,2,4,17,34,68,73,146,292,1241,2482,4964
Greatest Common Factor
We found the factors and prime factorization of 4956 and 4964. The biggest common factor number is the GCF number.
So the greatest common factor 4956 and 4964 is 4.
Also check out the Least Common Multiple of 4956 and 4964
(i) The GCF of 4956 and 4964 is associative
GCF of 4956 and 4964 = GCF of 4964 and 4956
1. What is the GCF of 4956 and 4964?
Answer: GCF of 4956 and 4964 is 4.
2. What are the Factors of 4956?
Answer: Factors of 4956 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478, 4956. There are 24 integers that are factors of 4956. The greatest factor of 4956 is 4956.
3. What are the Factors of 4964?
Answer: Factors of 4964 are 1, 2, 4, 17, 34, 68, 73, 146, 292, 1241, 2482, 4964. There are 12 integers that are factors of 4964. The greatest factor of 4964 is 4964.
4. How to Find the GCF of 4956 and 4964?
Answer:
Greatest Common Factor of 4956 and 4964 = 4
Step 1: Find the prime factorization of 4956
4956 = 2 x 2 x 3 x 7 x 59
Step 2: Find the prime factorization of 4964
4964 = 2 x 2 x 17 x 73
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 4956 and 4964 is 4