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 7602, 7604 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7602 and 7604 is 2.
GCF(7602,7604) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7602
2 | 7602 |
3 | 3801 |
7 | 1267 |
181 | 181 |
1 |
Prime factors of 7602 are 2,3,7,181. Prime factorization of 7602 in exponential form is:
7602 = 21×31×71×1811
Prime Factorization of 7604
2 | 7604 |
2 | 3802 |
1901 | 1901 |
1 |
Prime factors of 7604 are 2,1901. Prime factorization of 7604 in exponential form is:
7604 = 22×19011
∴ So by taking common prime factors GCF of 7602 and 7604 is 2
Factors of 7602
List of positive integer factors of 7602 that divides 7602 without a remainder.
1,2,3,6,7,14,21,42,181,362,543,1086,1267,2534,3801,7602
Factors of 7604
List of positive integer factors of 7604 that divides 7604 without a remainder.
1,2,4,1901,3802,7604
Greatest Common Factor
We found the factors and prime factorization of 7602 and 7604. The biggest common factor number is the GCF number.
So the greatest common factor 7602 and 7604 is 2.
Also check out the Least Common Multiple of 7602 and 7604
(i) The GCF of 7602 and 7604 is associative
GCF of 7602 and 7604 = GCF of 7604 and 7602
1. What is the GCF of 7602 and 7604?
Answer: GCF of 7602 and 7604 is 2.
2. What are the Factors of 7602?
Answer: Factors of 7602 are 1, 2, 3, 6, 7, 14, 21, 42, 181, 362, 543, 1086, 1267, 2534, 3801, 7602. There are 16 integers that are factors of 7602. The greatest factor of 7602 is 7602.
3. What are the Factors of 7604?
Answer: Factors of 7604 are 1, 2, 4, 1901, 3802, 7604. There are 6 integers that are factors of 7604. The greatest factor of 7604 is 7604.
4. How to Find the GCF of 7602 and 7604?
Answer:
Greatest Common Factor of 7602 and 7604 = 2
Step 1: Find the prime factorization of 7602
7602 = 2 x 3 x 7 x 181
Step 2: Find the prime factorization of 7604
7604 = 2 x 2 x 1901
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 7602 and 7604 is 2