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 1064, 1068 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1064 and 1068 is 4.
GCF(1064,1068) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1064
2 | 1064 |
2 | 532 |
2 | 266 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 1064 are 2,7,19. Prime factorization of 1064 in exponential form is:
1064 = 23×71×191
Prime Factorization of 1068
2 | 1068 |
2 | 534 |
3 | 267 |
89 | 89 |
1 |
Prime factors of 1068 are 2,3,89. Prime factorization of 1068 in exponential form is:
1068 = 22×31×891
∴ So by taking common prime factors GCF of 1064 and 1068 is 4
Factors of 1064
List of positive integer factors of 1064 that divides 1064 without a remainder.
1,2,4,7,8,14,19,28,38,56,76,133,152,266,532,1064
Factors of 1068
List of positive integer factors of 1068 that divides 1068 without a remainder.
1,2,3,4,6,12,89,178,267,356,534,1068
Greatest Common Factor
We found the factors and prime factorization of 1064 and 1068. The biggest common factor number is the GCF number.
So the greatest common factor 1064 and 1068 is 4.
Also check out the Least Common Multiple of 1064 and 1068
(i) The GCF of 1064 and 1068 is associative
GCF of 1064 and 1068 = GCF of 1068 and 1064
1. What is the GCF of 1064 and 1068?
Answer: GCF of 1064 and 1068 is 4.
2. What are the Factors of 1064?
Answer: Factors of 1064 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 133, 152, 266, 532, 1064. There are 16 integers that are factors of 1064. The greatest factor of 1064 is 1064.
3. What are the Factors of 1068?
Answer: Factors of 1068 are 1, 2, 3, 4, 6, 12, 89, 178, 267, 356, 534, 1068. There are 12 integers that are factors of 1068. The greatest factor of 1068 is 1068.
4. How to Find the GCF of 1064 and 1068?
Answer:
Greatest Common Factor of 1064 and 1068 = 4
Step 1: Find the prime factorization of 1064
1064 = 2 x 2 x 2 x 7 x 19
Step 2: Find the prime factorization of 1068
1068 = 2 x 2 x 3 x 89
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 1064 and 1068 is 4