Greatest Common Factor of 7627 and 7635

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 7627, 7635 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7627 and 7635 is 1.

GCF(7627,7635) = 1

GCF of 7627 and 7635

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

GCF of:
and

Greatest Common Factor of 7627 and 7635

GCF of 7627 and 7635 is 1

Prime Factorization of 7627


29 7627
263 263
1

Prime factors of 7627 are 29,263. Prime factorization of 7627 in exponential form is:

7627 = 291×2631

Prime Factorization of 7635


3 7635
5 2545
509 509
1

Prime factors of 7635 are 3,5,509. Prime factorization of 7635 in exponential form is:

7635 = 31×51×5091

∴ So by taking common prime factors GCF of 7627 and 7635 is 1

Greatest Common Factor of 7627 and 7635 by matching factors method

Factors of 7627

List of positive integer factors of 7627 that divides 7627 without a remainder.

1,29,263,7627

Factors of 7635

List of positive integer factors of 7635 that divides 7635 without a remainder.

1,3,5,15,509,1527,2545,7635

Greatest Common Factor

We found the factors and prime factorization of 7627 and 7635. The biggest common factor number is the GCF number.
So the greatest common factor 7627 and 7635 is 1.

Also check out the Least Common Multiple of 7627 and 7635

Properties of GCF 7627 and 7635

(i) The GCF of 7627 and 7635 is associative

GCF of 7627 and 7635 = GCF of 7635 and 7627

Related Greatest Common Factor of 7627

Related Greatest Common Factor of 7635

Frequently Asked Questions on GCF of 7627 and 7635

1. What is the GCF of 7627 and 7635?

Answer: GCF of 7627 and 7635 is 1.

2. What are the Factors of 7627?

Answer: Factors of 7627 are 1, 29, 263, 7627. There are 4 integers that are factors of 7627. The greatest factor of 7627 is 7627.

3. What are the Factors of 7635?

Answer: Factors of 7635 are 1, 3, 5, 15, 509, 1527, 2545, 7635. There are 8 integers that are factors of 7635. The greatest factor of 7635 is 7635.

4. How to Find the GCF of 7627 and 7635?

Answer:

Greatest Common Factor of 7627 and 7635 = 1

Step 1: Find the prime factorization of 7627

7627 = 29 x 263

Step 2: Find the prime factorization of 7635

7635 = 3 x 5 x 509

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 7627 and 7635 is 1