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 10216, 10224 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10216 and 10224 is 8.
GCF(10216,10224) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10216
2 | 10216 |
2 | 5108 |
2 | 2554 |
1277 | 1277 |
1 |
Prime factors of 10216 are 2,1277. Prime factorization of 10216 in exponential form is:
10216 = 23×12771
Prime Factorization of 10224
2 | 10224 |
2 | 5112 |
2 | 2556 |
2 | 1278 |
3 | 639 |
3 | 213 |
71 | 71 |
1 |
Prime factors of 10224 are 2,3,71. Prime factorization of 10224 in exponential form is:
10224 = 24×32×711
∴ So by taking common prime factors GCF of 10216 and 10224 is 8
Factors of 10216
List of positive integer factors of 10216 that divides 10216 without a remainder.
1,2,4,8,1277,2554,5108,10216
Factors of 10224
List of positive integer factors of 10224 that divides 10224 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,71,72,142,144,213,284,426,568,639,852,1136,1278,1704,2556,3408,5112,10224
Greatest Common Factor
We found the factors and prime factorization of 10216 and 10224. The biggest common factor number is the GCF number.
So the greatest common factor 10216 and 10224 is 8.
Also check out the Least Common Multiple of 10216 and 10224
(i) The GCF of 10216 and 10224 is associative
GCF of 10216 and 10224 = GCF of 10224 and 10216
1. What is the GCF of 10216 and 10224?
Answer: GCF of 10216 and 10224 is 8.
2. What are the Factors of 10216?
Answer: Factors of 10216 are 1, 2, 4, 8, 1277, 2554, 5108, 10216. There are 8 integers that are factors of 10216. The greatest factor of 10216 is 10216.
3. What are the Factors of 10224?
Answer: Factors of 10224 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 71, 72, 142, 144, 213, 284, 426, 568, 639, 852, 1136, 1278, 1704, 2556, 3408, 5112, 10224. There are 30 integers that are factors of 10224. The greatest factor of 10224 is 10224.
4. How to Find the GCF of 10216 and 10224?
Answer:
Greatest Common Factor of 10216 and 10224 = 8
Step 1: Find the prime factorization of 10216
10216 = 2 x 2 x 2 x 1277
Step 2: Find the prime factorization of 10224
10224 = 2 x 2 x 2 x 2 x 3 x 3 x 71
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 10216 and 10224 is 8