Greatest Common Factor of 7625 and 7633

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 7625, 7633 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7625 and 7633 is 1.

GCF(7625,7633) = 1

GCF of 7625 and 7633

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

GCF of:
and

Greatest Common Factor of 7625 and 7633

GCF of 7625 and 7633 is 1

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

Prime Factorization of 7633


17 7633
449 449
1

Prime factors of 7633 are 17,449. Prime factorization of 7633 in exponential form is:

7633 = 171×4491

∴ So by taking common prime factors GCF of 7625 and 7633 is 1

Greatest Common Factor of 7625 and 7633 by matching factors method

Factors of 7625

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

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

Factors of 7633

List of positive integer factors of 7633 that divides 7633 without a remainder.

1,17,449,7633

Greatest Common Factor

We found the factors and prime factorization of 7625 and 7633. The biggest common factor number is the GCF number.
So the greatest common factor 7625 and 7633 is 1.

Also check out the Least Common Multiple of 7625 and 7633

Properties of GCF 7625 and 7633

(i) The GCF of 7625 and 7633 is associative

GCF of 7625 and 7633 = GCF of 7633 and 7625

Related Greatest Common Factor of 7625

Related Greatest Common Factor of 7633

Frequently Asked Questions on GCF of 7625 and 7633

1. What is the GCF of 7625 and 7633?

Answer: GCF of 7625 and 7633 is 1.

2. 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.

3. What are the Factors of 7633?

Answer: Factors of 7633 are 1, 17, 449, 7633. There are 4 integers that are factors of 7633. The greatest factor of 7633 is 7633.

4. How to Find the GCF of 7625 and 7633?

Answer:

Greatest Common Factor of 7625 and 7633 = 1

Step 1: Find the prime factorization of 7625

7625 = 5 x 5 x 5 x 61

Step 2: Find the prime factorization of 7633

7633 = 17 x 449

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 7625 and 7633 is 1