Greatest Common Factor of 9064 and 9070

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 9064, 9070 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9064 and 9070 is 2.

GCF(9064,9070) = 2

GCF of 9064 and 9070

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

GCF of:
and

Greatest Common Factor of 9064 and 9070

GCF of 9064 and 9070 is 2

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

Prime Factorization of 9070


2 9070
5 4535
907 907
1

Prime factors of 9070 are 2,5,907. Prime factorization of 9070 in exponential form is:

9070 = 21×51×9071

∴ So by taking common prime factors GCF of 9064 and 9070 is 2

Greatest Common Factor of 9064 and 9070 by matching factors method

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

Factors of 9070

List of positive integer factors of 9070 that divides 9070 without a remainder.

1,2,5,10,907,1814,4535,9070

Greatest Common Factor

We found the factors and prime factorization of 9064 and 9070. The biggest common factor number is the GCF number.
So the greatest common factor 9064 and 9070 is 2.

Also check out the Least Common Multiple of 9064 and 9070

Properties of GCF 9064 and 9070

(i) The GCF of 9064 and 9070 is associative

GCF of 9064 and 9070 = GCF of 9070 and 9064

Related Greatest Common Factor of 9064

Related Greatest Common Factor of 9070

Frequently Asked Questions on GCF of 9064 and 9070

1. What is the GCF of 9064 and 9070?

Answer: GCF of 9064 and 9070 is 2.

2. 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.

3. What are the Factors of 9070?

Answer: Factors of 9070 are 1, 2, 5, 10, 907, 1814, 4535, 9070. There are 8 integers that are factors of 9070. The greatest factor of 9070 is 9070.

4. How to Find the GCF of 9064 and 9070?

Answer:

Greatest Common Factor of 9064 and 9070 = 2

Step 1: Find the prime factorization of 9064

9064 = 2 x 2 x 2 x 11 x 103

Step 2: Find the prime factorization of 9070

9070 = 2 x 5 x 907

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9064 and 9070 is 2