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 7562, 7564 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7562 and 7564 is 2.
GCF(7562,7564) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7562
2 | 7562 |
19 | 3781 |
199 | 199 |
1 |
Prime factors of 7562 are 2,19,199. Prime factorization of 7562 in exponential form is:
7562 = 21×191×1991
Prime Factorization of 7564
2 | 7564 |
2 | 3782 |
31 | 1891 |
61 | 61 |
1 |
Prime factors of 7564 are 2,31,61. Prime factorization of 7564 in exponential form is:
7564 = 22×311×611
∴ So by taking common prime factors GCF of 7562 and 7564 is 2
Factors of 7562
List of positive integer factors of 7562 that divides 7562 without a remainder.
1,2,19,38,199,398,3781,7562
Factors of 7564
List of positive integer factors of 7564 that divides 7564 without a remainder.
1,2,4,31,61,62,122,124,244,1891,3782,7564
Greatest Common Factor
We found the factors and prime factorization of 7562 and 7564. The biggest common factor number is the GCF number.
So the greatest common factor 7562 and 7564 is 2.
Also check out the Least Common Multiple of 7562 and 7564
(i) The GCF of 7562 and 7564 is associative
GCF of 7562 and 7564 = GCF of 7564 and 7562
1. What is the GCF of 7562 and 7564?
Answer: GCF of 7562 and 7564 is 2.
2. What are the Factors of 7562?
Answer: Factors of 7562 are 1, 2, 19, 38, 199, 398, 3781, 7562. There are 8 integers that are factors of 7562. The greatest factor of 7562 is 7562.
3. What are the Factors of 7564?
Answer: Factors of 7564 are 1, 2, 4, 31, 61, 62, 122, 124, 244, 1891, 3782, 7564. There are 12 integers that are factors of 7564. The greatest factor of 7564 is 7564.
4. How to Find the GCF of 7562 and 7564?
Answer:
Greatest Common Factor of 7562 and 7564 = 2
Step 1: Find the prime factorization of 7562
7562 = 2 x 19 x 199
Step 2: Find the prime factorization of 7564
7564 = 2 x 2 x 31 x 61
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 7562 and 7564 is 2