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 10058, 10064 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10058 and 10064 is 2.
GCF(10058,10064) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10058
2 | 10058 |
47 | 5029 |
107 | 107 |
1 |
Prime factors of 10058 are 2,47,107. Prime factorization of 10058 in exponential form is:
10058 = 21×471×1071
Prime Factorization of 10064
2 | 10064 |
2 | 5032 |
2 | 2516 |
2 | 1258 |
17 | 629 |
37 | 37 |
1 |
Prime factors of 10064 are 2,17,37. Prime factorization of 10064 in exponential form is:
10064 = 24×171×371
∴ So by taking common prime factors GCF of 10058 and 10064 is 2
Factors of 10058
List of positive integer factors of 10058 that divides 10058 without a remainder.
1,2,47,94,107,214,5029,10058
Factors of 10064
List of positive integer factors of 10064 that divides 10064 without a remainder.
1,2,4,8,16,17,34,37,68,74,136,148,272,296,592,629,1258,2516,5032,10064
Greatest Common Factor
We found the factors and prime factorization of 10058 and 10064. The biggest common factor number is the GCF number.
So the greatest common factor 10058 and 10064 is 2.
Also check out the Least Common Multiple of 10058 and 10064
(i) The GCF of 10058 and 10064 is associative
GCF of 10058 and 10064 = GCF of 10064 and 10058
1. What is the GCF of 10058 and 10064?
Answer: GCF of 10058 and 10064 is 2.
2. What are the Factors of 10058?
Answer: Factors of 10058 are 1, 2, 47, 94, 107, 214, 5029, 10058. There are 8 integers that are factors of 10058. The greatest factor of 10058 is 10058.
3. What are the Factors of 10064?
Answer: Factors of 10064 are 1, 2, 4, 8, 16, 17, 34, 37, 68, 74, 136, 148, 272, 296, 592, 629, 1258, 2516, 5032, 10064. There are 20 integers that are factors of 10064. The greatest factor of 10064 is 10064.
4. How to Find the GCF of 10058 and 10064?
Answer:
Greatest Common Factor of 10058 and 10064 = 2
Step 1: Find the prime factorization of 10058
10058 = 2 x 47 x 107
Step 2: Find the prime factorization of 10064
10064 = 2 x 2 x 2 x 2 x 17 x 37
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 10058 and 10064 is 2