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 10104, 10112 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10104 and 10112 is 8.
GCF(10104,10112) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10104
2 | 10104 |
2 | 5052 |
2 | 2526 |
3 | 1263 |
421 | 421 |
1 |
Prime factors of 10104 are 2,3,421. Prime factorization of 10104 in exponential form is:
10104 = 23×31×4211
Prime Factorization of 10112
2 | 10112 |
2 | 5056 |
2 | 2528 |
2 | 1264 |
2 | 632 |
2 | 316 |
2 | 158 |
79 | 79 |
1 |
Prime factors of 10112 are 2,79. Prime factorization of 10112 in exponential form is:
10112 = 27×791
∴ So by taking common prime factors GCF of 10104 and 10112 is 8
Factors of 10104
List of positive integer factors of 10104 that divides 10104 without a remainder.
1,2,3,4,6,8,12,24,421,842,1263,1684,2526,3368,5052,10104
Factors of 10112
List of positive integer factors of 10112 that divides 10112 without a remainder.
1,2,4,8,16,32,64,79,128,158,316,632,1264,2528,5056,10112
Greatest Common Factor
We found the factors and prime factorization of 10104 and 10112. The biggest common factor number is the GCF number.
So the greatest common factor 10104 and 10112 is 8.
Also check out the Least Common Multiple of 10104 and 10112
(i) The GCF of 10104 and 10112 is associative
GCF of 10104 and 10112 = GCF of 10112 and 10104
1. What is the GCF of 10104 and 10112?
Answer: GCF of 10104 and 10112 is 8.
2. What are the Factors of 10104?
Answer: Factors of 10104 are 1, 2, 3, 4, 6, 8, 12, 24, 421, 842, 1263, 1684, 2526, 3368, 5052, 10104. There are 16 integers that are factors of 10104. The greatest factor of 10104 is 10104.
3. What are the Factors of 10112?
Answer: Factors of 10112 are 1, 2, 4, 8, 16, 32, 64, 79, 128, 158, 316, 632, 1264, 2528, 5056, 10112. There are 16 integers that are factors of 10112. The greatest factor of 10112 is 10112.
4. How to Find the GCF of 10104 and 10112?
Answer:
Greatest Common Factor of 10104 and 10112 = 8
Step 1: Find the prime factorization of 10104
10104 = 2 x 2 x 2 x 3 x 421
Step 2: Find the prime factorization of 10112
10112 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 79
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 10104 and 10112 is 8