Greatest Common Factor of 7620 and 7625

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, 7625 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7620 and 7625 is 5.

GCF(7620,7625) = 5

GCF of 7620 and 7625

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 7620 and 7625

GCF of 7620 and 7625 is 5

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 7625


5 7625
5 1525
5 305
61 61
1

Prime factors of 7625 are 5,61. Prime factorization of 7625 in exponential form is:

7625 = 53×611

∴ So by taking common prime factors GCF of 7620 and 7625 is 5

Greatest Common Factor of 7620 and 7625 by matching factors method

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 7625

List of positive integer factors of 7625 that divides 7625 without a remainder.

1,5,25,61,125,305,1525,7625

Greatest Common Factor

We found the factors and prime factorization of 7620 and 7625. The biggest common factor number is the GCF number.
So the greatest common factor 7620 and 7625 is 5.

Also check out the Least Common Multiple of 7620 and 7625

Properties of GCF 7620 and 7625

(i) The GCF of 7620 and 7625 is associative

GCF of 7620 and 7625 = GCF of 7625 and 7620

Related Greatest Common Factor of 7620

Related Greatest Common Factor of 7625

Frequently Asked Questions on GCF of 7620 and 7625

1. What is the GCF of 7620 and 7625?

Answer: GCF of 7620 and 7625 is 5.

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 7625?

Answer: Factors of 7625 are 1, 5, 25, 61, 125, 305, 1525, 7625. There are 8 integers that are factors of 7625. The greatest factor of 7625 is 7625.

4. How to Find the GCF of 7620 and 7625?

Answer:

Greatest Common Factor of 7620 and 7625 = 5

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 7625

7625 = 5 x 5 x 5 x 61

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 7620 and 7625 is 5