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 10052, 10054 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10052 and 10054 is 2.
GCF(10052,10054) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10052
2 | 10052 |
2 | 5026 |
7 | 2513 |
359 | 359 |
1 |
Prime factors of 10052 are 2,7,359. Prime factorization of 10052 in exponential form is:
10052 = 22×71×3591
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
∴ So by taking common prime factors GCF of 10052 and 10054 is 2
Factors of 10052
List of positive integer factors of 10052 that divides 10052 without a remainder.
1,2,4,7,14,28,359,718,1436,2513,5026,10052
Factors of 10054
List of positive integer factors of 10054 that divides 10054 without a remainder.
1,2,11,22,457,914,5027,10054
Greatest Common Factor
We found the factors and prime factorization of 10052 and 10054. The biggest common factor number is the GCF number.
So the greatest common factor 10052 and 10054 is 2.
Also check out the Least Common Multiple of 10052 and 10054
(i) The GCF of 10052 and 10054 is associative
GCF of 10052 and 10054 = GCF of 10054 and 10052
1. What is the GCF of 10052 and 10054?
Answer: GCF of 10052 and 10054 is 2.
2. What are the Factors of 10052?
Answer: Factors of 10052 are 1, 2, 4, 7, 14, 28, 359, 718, 1436, 2513, 5026, 10052. There are 12 integers that are factors of 10052. The greatest factor of 10052 is 10052.
3. 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.
4. How to Find the GCF of 10052 and 10054?
Answer:
Greatest Common Factor of 10052 and 10054 = 2
Step 1: Find the prime factorization of 10052
10052 = 2 x 2 x 7 x 359
Step 2: Find the prime factorization of 10054
10054 = 2 x 11 x 457
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 10052 and 10054 is 2