Greatest Common Factor of 620 and 625

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 620, 625 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 620 and 625 is 5.

GCF(620,625) = 5

GCF of 620 and 625

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

GCF of:
and

Greatest Common Factor of 620 and 625

GCF of 620 and 625 is 5

Prime Factorization of 620


2 620
2 310
5 155
31 31
1

Prime factors of 620 are 2,5,31. Prime factorization of 620 in exponential form is:

620 = 22×51×311

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

∴ So by taking common prime factors GCF of 620 and 625 is 5

Greatest Common Factor of 620 and 625 by matching factors method

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 625

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

1,5,25,125,625

Greatest Common Factor

We found the factors and prime factorization of 620 and 625. The biggest common factor number is the GCF number.
So the greatest common factor 620 and 625 is 5.

Also check out the Least Common Multiple of 620 and 625

Properties of GCF 620 and 625

(i) The GCF of 620 and 625 is associative

GCF of 620 and 625 = GCF of 625 and 620

Related Greatest Common Factor of 620

Related Greatest Common Factor of 625

Frequently Asked Questions on GCF of 620 and 625

1. What is the GCF of 620 and 625?

Answer: GCF of 620 and 625 is 5.

2. What are the Factors of 620?

Answer: Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620. There are 12 integers that are factors of 620. The greatest factor of 620 is 620.

3. 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.

4. How to Find the GCF of 620 and 625?

Answer:

Greatest Common Factor of 620 and 625 = 5

Step 1: Find the prime factorization of 620

620 = 2 x 2 x 5 x 31

Step 2: Find the prime factorization of 625

625 = 5 x 5 x 5 x 5

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 620 and 625 is 5