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, 1070 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1064 and 1070 is 2.
GCF(1064,1070) = 2
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 1070
2 | 1070 |
5 | 535 |
107 | 107 |
1 |
Prime factors of 1070 are 2,5,107. Prime factorization of 1070 in exponential form is:
1070 = 21×51×1071
∴ So by taking common prime factors GCF of 1064 and 1070 is 2
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 1070
List of positive integer factors of 1070 that divides 1070 without a remainder.
1,2,5,10,107,214,535,1070
Greatest Common Factor
We found the factors and prime factorization of 1064 and 1070. The biggest common factor number is the GCF number.
So the greatest common factor 1064 and 1070 is 2.
Also check out the Least Common Multiple of 1064 and 1070
(i) The GCF of 1064 and 1070 is associative
GCF of 1064 and 1070 = GCF of 1070 and 1064
1. What is the GCF of 1064 and 1070?
Answer: GCF of 1064 and 1070 is 2.
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 1070?
Answer: Factors of 1070 are 1, 2, 5, 10, 107, 214, 535, 1070. There are 8 integers that are factors of 1070. The greatest factor of 1070 is 1070.
4. How to Find the GCF of 1064 and 1070?
Answer:
Greatest Common Factor of 1064 and 1070 = 2
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 1070
1070 = 2 x 5 x 107
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 1064 and 1070 is 2