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 10054, 10062 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10054 and 10062 is 2.
GCF(10054,10062) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10054
2 | 10054 |
11 | 5027 |
457 | 457 |
1 |
Prime factors of 10054 are 2,11,457. Prime factorization of 10054 in exponential form is:
10054 = 21×111×4571
Prime Factorization of 10062
2 | 10062 |
3 | 5031 |
3 | 1677 |
13 | 559 |
43 | 43 |
1 |
Prime factors of 10062 are 2,3,13,43. Prime factorization of 10062 in exponential form is:
10062 = 21×32×131×431
∴ So by taking common prime factors GCF of 10054 and 10062 is 2
Factors of 10054
List of positive integer factors of 10054 that divides 10054 without a remainder.
1,2,11,22,457,914,5027,10054
Factors of 10062
List of positive integer factors of 10062 that divides 10062 without a remainder.
1,2,3,6,9,13,18,26,39,43,78,86,117,129,234,258,387,559,774,1118,1677,3354,5031,10062
Greatest Common Factor
We found the factors and prime factorization of 10054 and 10062. The biggest common factor number is the GCF number.
So the greatest common factor 10054 and 10062 is 2.
Also check out the Least Common Multiple of 10054 and 10062
(i) The GCF of 10054 and 10062 is associative
GCF of 10054 and 10062 = GCF of 10062 and 10054
1. What is the GCF of 10054 and 10062?
Answer: GCF of 10054 and 10062 is 2.
2. What are the Factors of 10054?
Answer: Factors of 10054 are 1, 2, 11, 22, 457, 914, 5027, 10054. There are 8 integers that are factors of 10054. The greatest factor of 10054 is 10054.
3. What are the Factors of 10062?
Answer: Factors of 10062 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 43, 78, 86, 117, 129, 234, 258, 387, 559, 774, 1118, 1677, 3354, 5031, 10062. There are 24 integers that are factors of 10062. The greatest factor of 10062 is 10062.
4. How to Find the GCF of 10054 and 10062?
Answer:
Greatest Common Factor of 10054 and 10062 = 2
Step 1: Find the prime factorization of 10054
10054 = 2 x 11 x 457
Step 2: Find the prime factorization of 10062
10062 = 2 x 3 x 3 x 13 x 43
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 10054 and 10062 is 2