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 7620, 7624 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7620 and 7624 is 4.
GCF(7620,7624) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7620
2 | 7620 |
2 | 3810 |
3 | 1905 |
5 | 635 |
127 | 127 |
1 |
Prime factors of 7620 are 2,3,5,127. Prime factorization of 7620 in exponential form is:
7620 = 22×31×51×1271
Prime Factorization of 7624
2 | 7624 |
2 | 3812 |
2 | 1906 |
953 | 953 |
1 |
Prime factors of 7624 are 2,953. Prime factorization of 7624 in exponential form is:
7624 = 23×9531
∴ So by taking common prime factors GCF of 7620 and 7624 is 4
Factors of 7620
List of positive integer factors of 7620 that divides 7620 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,127,254,381,508,635,762,1270,1524,1905,2540,3810,7620
Factors of 7624
List of positive integer factors of 7624 that divides 7624 without a remainder.
1,2,4,8,953,1906,3812,7624
Greatest Common Factor
We found the factors and prime factorization of 7620 and 7624. The biggest common factor number is the GCF number.
So the greatest common factor 7620 and 7624 is 4.
Also check out the Least Common Multiple of 7620 and 7624
(i) The GCF of 7620 and 7624 is associative
GCF of 7620 and 7624 = GCF of 7624 and 7620
1. What is the GCF of 7620 and 7624?
Answer: GCF of 7620 and 7624 is 4.
2. What are the Factors of 7620?
Answer: Factors of 7620 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 127, 254, 381, 508, 635, 762, 1270, 1524, 1905, 2540, 3810, 7620. There are 24 integers that are factors of 7620. The greatest factor of 7620 is 7620.
3. What are the Factors of 7624?
Answer: Factors of 7624 are 1, 2, 4, 8, 953, 1906, 3812, 7624. There are 8 integers that are factors of 7624. The greatest factor of 7624 is 7624.
4. How to Find the GCF of 7620 and 7624?
Answer:
Greatest Common Factor of 7620 and 7624 = 4
Step 1: Find the prime factorization of 7620
7620 = 2 x 2 x 3 x 5 x 127
Step 2: Find the prime factorization of 7624
7624 = 2 x 2 x 2 x 953
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 7620 and 7624 is 4