Greatest Common Factor of 67018 and 67025

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 67018, 67025 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67018 and 67025 is 7.

GCF(67018,67025) = 7

GCF of 67018 and 67025

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

GCF of:
and

Greatest Common Factor of 67018 and 67025

GCF of 67018 and 67025 is 7

Prime Factorization of 67018


2 67018
7 33509
4787 4787
1

Prime factors of 67018 are 2,7,4787. Prime factorization of 67018 in exponential form is:

67018 = 21×71×47871

Prime Factorization of 67025


5 67025
5 13405
7 2681
383 383
1

Prime factors of 67025 are 5,7,383. Prime factorization of 67025 in exponential form is:

67025 = 52×71×3831

∴ So by taking common prime factors GCF of 67018 and 67025 is 7

Greatest Common Factor of 67018 and 67025 by matching factors method

Factors of 67018

List of positive integer factors of 67018 that divides 67018 without a remainder.

1,2,7,14,4787,9574,33509,67018

Factors of 67025

List of positive integer factors of 67025 that divides 67025 without a remainder.

1,5,7,25,35,175,383,1915,2681,9575,13405,67025

Greatest Common Factor

We found the factors and prime factorization of 67018 and 67025. The biggest common factor number is the GCF number.
So the greatest common factor 67018 and 67025 is 7.

Also check out the Least Common Multiple of 67018 and 67025

Properties of GCF 67018 and 67025

(i) The GCF of 67018 and 67025 is associative

GCF of 67018 and 67025 = GCF of 67025 and 67018

Related Greatest Common Factor of 67018

Related Greatest Common Factor of 67025

Frequently Asked Questions on GCF of 67018 and 67025

1. What is the GCF of 67018 and 67025?

Answer: GCF of 67018 and 67025 is 7.

2. What are the Factors of 67018?

Answer: Factors of 67018 are 1, 2, 7, 14, 4787, 9574, 33509, 67018. There are 8 integers that are factors of 67018. The greatest factor of 67018 is 67018.

3. What are the Factors of 67025?

Answer: Factors of 67025 are 1, 5, 7, 25, 35, 175, 383, 1915, 2681, 9575, 13405, 67025. There are 12 integers that are factors of 67025. The greatest factor of 67025 is 67025.

4. How to Find the GCF of 67018 and 67025?

Answer:

Greatest Common Factor of 67018 and 67025 = 7

Step 1: Find the prime factorization of 67018

67018 = 2 x 7 x 4787

Step 2: Find the prime factorization of 67025

67025 = 5 x 5 x 7 x 383

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

GCF = 7

Step 4: Therefore, the greatest common factor of 67018 and 67025 is 7