Greatest Common Factor of 626 and 634

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 626, 634 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 626 and 634 is 2.

GCF(626,634) = 2

GCF of 626 and 634

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

GCF of:
and

Greatest Common Factor of 626 and 634

GCF of 626 and 634 is 2

Prime Factorization of 626


2 626
313 313
1

Prime factors of 626 are 2,313. Prime factorization of 626 in exponential form is:

626 = 21×3131

Prime Factorization of 634


2 634
317 317
1

Prime factors of 634 are 2,317. Prime factorization of 634 in exponential form is:

634 = 21×3171

∴ So by taking common prime factors GCF of 626 and 634 is 2

Greatest Common Factor of 626 and 634 by matching factors method

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors and prime factorization of 626 and 634. The biggest common factor number is the GCF number.
So the greatest common factor 626 and 634 is 2.

Also check out the Least Common Multiple of 626 and 634

Properties of GCF 626 and 634

(i) The GCF of 626 and 634 is associative

GCF of 626 and 634 = GCF of 634 and 626

Related Greatest Common Factor of 626

Related Greatest Common Factor of 634

Frequently Asked Questions on GCF of 626 and 634

1. What is the GCF of 626 and 634?

Answer: GCF of 626 and 634 is 2.

2. What are the Factors of 626?

Answer: Factors of 626 are 1, 2, 313, 626. There are 4 integers that are factors of 626. The greatest factor of 626 is 626.

3. What are the Factors of 634?

Answer: Factors of 634 are 1, 2, 317, 634. There are 4 integers that are factors of 634. The greatest factor of 634 is 634.

4. How to Find the GCF of 626 and 634?

Answer:

Greatest Common Factor of 626 and 634 = 2

Step 1: Find the prime factorization of 626

626 = 2 x 313

Step 2: Find the prime factorization of 634

634 = 2 x 317

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 626 and 634 is 2