Greatest Common Factor of 67053 and 67060

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 67053, 67060 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67053 and 67060 is 7.

GCF(67053,67060) = 7

GCF of 67053 and 67060

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

GCF of:
and

Greatest Common Factor of 67053 and 67060

GCF of 67053 and 67060 is 7

Prime Factorization of 67053


3 67053
7 22351
31 3193
103 103
1

Prime factors of 67053 are 3,7,31,103. Prime factorization of 67053 in exponential form is:

67053 = 31×71×311×1031

Prime Factorization of 67060


2 67060
2 33530
5 16765
7 3353
479 479
1

Prime factors of 67060 are 2,5,7,479. Prime factorization of 67060 in exponential form is:

67060 = 22×51×71×4791

∴ So by taking common prime factors GCF of 67053 and 67060 is 7

Greatest Common Factor of 67053 and 67060 by matching factors method

Factors of 67053

List of positive integer factors of 67053 that divides 67053 without a remainder.

1,3,7,21,31,93,103,217,309,651,721,2163,3193,9579,22351,67053

Factors of 67060

List of positive integer factors of 67060 that divides 67060 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140,479,958,1916,2395,3353,4790,6706,9580,13412,16765,33530,67060

Greatest Common Factor

We found the factors and prime factorization of 67053 and 67060. The biggest common factor number is the GCF number.
So the greatest common factor 67053 and 67060 is 7.

Also check out the Least Common Multiple of 67053 and 67060

Properties of GCF 67053 and 67060

(i) The GCF of 67053 and 67060 is associative

GCF of 67053 and 67060 = GCF of 67060 and 67053

Related Greatest Common Factor of 67053

Related Greatest Common Factor of 67060

Frequently Asked Questions on GCF of 67053 and 67060

1. What is the GCF of 67053 and 67060?

Answer: GCF of 67053 and 67060 is 7.

2. What are the Factors of 67053?

Answer: Factors of 67053 are 1, 3, 7, 21, 31, 93, 103, 217, 309, 651, 721, 2163, 3193, 9579, 22351, 67053. There are 16 integers that are factors of 67053. The greatest factor of 67053 is 67053.

3. What are the Factors of 67060?

Answer: Factors of 67060 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 479, 958, 1916, 2395, 3353, 4790, 6706, 9580, 13412, 16765, 33530, 67060. There are 24 integers that are factors of 67060. The greatest factor of 67060 is 67060.

4. How to Find the GCF of 67053 and 67060?

Answer:

Greatest Common Factor of 67053 and 67060 = 7

Step 1: Find the prime factorization of 67053

67053 = 3 x 7 x 31 x 103

Step 2: Find the prime factorization of 67060

67060 = 2 x 2 x 5 x 7 x 479

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 67053 and 67060 is 7