Greatest Common Factor of 625 and 626

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 625, 626 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 625 and 626 is 1.

GCF(625,626) = 1

GCF of 625 and 626

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

GCF of:
and

Greatest Common Factor of 625 and 626

GCF of 625 and 626 is 1

Prime Factorization of 625


5 625
5 125
5 25
5 5
1

Prime factors of 625 are 5. Prime factorization of 625 in exponential form is:

625 = 54

Prime Factorization of 626


2 626
313 313
1

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

626 = 21×3131

∴ So by taking common prime factors GCF of 625 and 626 is 1

Greatest Common Factor of 625 and 626 by matching factors method

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 626

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

1,2,313,626

Greatest Common Factor

We found the factors and prime factorization of 625 and 626. The biggest common factor number is the GCF number.
So the greatest common factor 625 and 626 is 1.

Also check out the Least Common Multiple of 625 and 626

Properties of GCF 625 and 626

(i) The GCF of 625 and 626 is associative

GCF of 625 and 626 = GCF of 626 and 625

Related Greatest Common Factor of 625

Related Greatest Common Factor of 626

Frequently Asked Questions on GCF of 625 and 626

1. What is the GCF of 625 and 626?

Answer: GCF of 625 and 626 is 1.

2. What are the Factors of 625?

Answer: Factors of 625 are 1, 5, 25, 125, 625. There are 5 integers that are factors of 625. The greatest factor of 625 is 625.

3. 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.

4. How to Find the GCF of 625 and 626?

Answer:

Greatest Common Factor of 625 and 626 = 1

Step 1: Find the prime factorization of 625

625 = 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 626

626 = 2 x 313

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 625 and 626 is 1