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 2620, 2624 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2620 and 2624 is 4.
GCF(2620,2624) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2620
2 | 2620 |
2 | 1310 |
5 | 655 |
131 | 131 |
1 |
Prime factors of 2620 are 2,5,131. Prime factorization of 2620 in exponential form is:
2620 = 22×51×1311
Prime Factorization of 2624
2 | 2624 |
2 | 1312 |
2 | 656 |
2 | 328 |
2 | 164 |
2 | 82 |
41 | 41 |
1 |
Prime factors of 2624 are 2,41. Prime factorization of 2624 in exponential form is:
2624 = 26×411
∴ So by taking common prime factors GCF of 2620 and 2624 is 4
Factors of 2620
List of positive integer factors of 2620 that divides 2620 without a remainder.
1,2,4,5,10,20,131,262,524,655,1310,2620
Factors of 2624
List of positive integer factors of 2624 that divides 2624 without a remainder.
1,2,4,8,16,32,41,64,82,164,328,656,1312,2624
Greatest Common Factor
We found the factors and prime factorization of 2620 and 2624. The biggest common factor number is the GCF number.
So the greatest common factor 2620 and 2624 is 4.
Also check out the Least Common Multiple of 2620 and 2624
(i) The GCF of 2620 and 2624 is associative
GCF of 2620 and 2624 = GCF of 2624 and 2620
1. What is the GCF of 2620 and 2624?
Answer: GCF of 2620 and 2624 is 4.
2. What are the Factors of 2620?
Answer: Factors of 2620 are 1, 2, 4, 5, 10, 20, 131, 262, 524, 655, 1310, 2620. There are 12 integers that are factors of 2620. The greatest factor of 2620 is 2620.
3. What are the Factors of 2624?
Answer: Factors of 2624 are 1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312, 2624. There are 14 integers that are factors of 2624. The greatest factor of 2624 is 2624.
4. How to Find the GCF of 2620 and 2624?
Answer:
Greatest Common Factor of 2620 and 2624 = 4
Step 1: Find the prime factorization of 2620
2620 = 2 x 2 x 5 x 131
Step 2: Find the prime factorization of 2624
2624 = 2 x 2 x 2 x 2 x 2 x 2 x 41
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 2620 and 2624 is 4