Greatest Common Factor of 9060 and 9064

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 9060, 9064 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9060 and 9064 is 4.

GCF(9060,9064) = 4

GCF of 9060 and 9064

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

GCF of:
and

Greatest Common Factor of 9060 and 9064

GCF of 9060 and 9064 is 4

Prime Factorization of 9060


2 9060
2 4530
3 2265
5 755
151 151
1

Prime factors of 9060 are 2,3,5,151. Prime factorization of 9060 in exponential form is:

9060 = 22×31×51×1511

Prime Factorization of 9064


2 9064
2 4532
2 2266
11 1133
103 103
1

Prime factors of 9064 are 2,11,103. Prime factorization of 9064 in exponential form is:

9064 = 23×111×1031

∴ So by taking common prime factors GCF of 9060 and 9064 is 4

Greatest Common Factor of 9060 and 9064 by matching factors method

Factors of 9060

List of positive integer factors of 9060 that divides 9060 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,151,302,453,604,755,906,1510,1812,2265,3020,4530,9060

Factors of 9064

List of positive integer factors of 9064 that divides 9064 without a remainder.

1,2,4,8,11,22,44,88,103,206,412,824,1133,2266,4532,9064

Greatest Common Factor

We found the factors and prime factorization of 9060 and 9064. The biggest common factor number is the GCF number.
So the greatest common factor 9060 and 9064 is 4.

Also check out the Least Common Multiple of 9060 and 9064

Properties of GCF 9060 and 9064

(i) The GCF of 9060 and 9064 is associative

GCF of 9060 and 9064 = GCF of 9064 and 9060

Related Greatest Common Factor of 9060

Related Greatest Common Factor of 9064

Frequently Asked Questions on GCF of 9060 and 9064

1. What is the GCF of 9060 and 9064?

Answer: GCF of 9060 and 9064 is 4.

2. What are the Factors of 9060?

Answer: Factors of 9060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 151, 302, 453, 604, 755, 906, 1510, 1812, 2265, 3020, 4530, 9060. There are 24 integers that are factors of 9060. The greatest factor of 9060 is 9060.

3. What are the Factors of 9064?

Answer: Factors of 9064 are 1, 2, 4, 8, 11, 22, 44, 88, 103, 206, 412, 824, 1133, 2266, 4532, 9064. There are 16 integers that are factors of 9064. The greatest factor of 9064 is 9064.

4. How to Find the GCF of 9060 and 9064?

Answer:

Greatest Common Factor of 9060 and 9064 = 4

Step 1: Find the prime factorization of 9060

9060 = 2 x 2 x 3 x 5 x 151

Step 2: Find the prime factorization of 9064

9064 = 2 x 2 x 2 x 11 x 103

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9060 and 9064 is 4