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 5240, 5244 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5240 and 5244 is 4.
GCF(5240,5244) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5240
2 | 5240 |
2 | 2620 |
2 | 1310 |
5 | 655 |
131 | 131 |
1 |
Prime factors of 5240 are 2,5,131. Prime factorization of 5240 in exponential form is:
5240 = 23×51×1311
Prime Factorization of 5244
2 | 5244 |
2 | 2622 |
3 | 1311 |
19 | 437 |
23 | 23 |
1 |
Prime factors of 5244 are 2,3,19,23. Prime factorization of 5244 in exponential form is:
5244 = 22×31×191×231
∴ So by taking common prime factors GCF of 5240 and 5244 is 4
Factors of 5240
List of positive integer factors of 5240 that divides 5240 without a remainder.
1,2,4,5,8,10,20,40,131,262,524,655,1048,1310,2620,5240
Factors of 5244
List of positive integer factors of 5244 that divides 5244 without a remainder.
1,2,3,4,6,12,19,23,38,46,57,69,76,92,114,138,228,276,437,874,1311,1748,2622,5244
Greatest Common Factor
We found the factors and prime factorization of 5240 and 5244. The biggest common factor number is the GCF number.
So the greatest common factor 5240 and 5244 is 4.
Also check out the Least Common Multiple of 5240 and 5244
(i) The GCF of 5240 and 5244 is associative
GCF of 5240 and 5244 = GCF of 5244 and 5240
1. What is the GCF of 5240 and 5244?
Answer: GCF of 5240 and 5244 is 4.
2. What are the Factors of 5240?
Answer: Factors of 5240 are 1, 2, 4, 5, 8, 10, 20, 40, 131, 262, 524, 655, 1048, 1310, 2620, 5240. There are 16 integers that are factors of 5240. The greatest factor of 5240 is 5240.
3. What are the Factors of 5244?
Answer: Factors of 5244 are 1, 2, 3, 4, 6, 12, 19, 23, 38, 46, 57, 69, 76, 92, 114, 138, 228, 276, 437, 874, 1311, 1748, 2622, 5244. There are 24 integers that are factors of 5244. The greatest factor of 5244 is 5244.
4. How to Find the GCF of 5240 and 5244?
Answer:
Greatest Common Factor of 5240 and 5244 = 4
Step 1: Find the prime factorization of 5240
5240 = 2 x 2 x 2 x 5 x 131
Step 2: Find the prime factorization of 5244
5244 = 2 x 2 x 3 x 19 x 23
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 5240 and 5244 is 4