Greatest Common Factor of 36064 and 36069

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 36064, 36069 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36064 and 36069 is 1.

GCF(36064,36069) = 1

GCF of 36064 and 36069

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

GCF of:
and

Greatest Common Factor of 36064 and 36069

GCF of 36064 and 36069 is 1

Prime Factorization of 36064


2 36064
2 18032
2 9016
2 4508
2 2254
7 1127
7 161
23 23
1

Prime factors of 36064 are 2,7,23. Prime factorization of 36064 in exponential form is:

36064 = 25×72×231

Prime Factorization of 36069


3 36069
11 12023
1093 1093
1

Prime factors of 36069 are 3,11,1093. Prime factorization of 36069 in exponential form is:

36069 = 31×111×10931

∴ So by taking common prime factors GCF of 36064 and 36069 is 1

Greatest Common Factor of 36064 and 36069 by matching factors method

Factors of 36064

List of positive integer factors of 36064 that divides 36064 without a remainder.

1,2,4,7,8,14,16,23,28,32,46,49,56,92,98,112,161,184,196,224,322,368,392,644,736,784,1127,1288,1568,2254,2576,4508,5152,9016,18032,36064

Factors of 36069

List of positive integer factors of 36069 that divides 36069 without a remainder.

1,3,11,33,1093,3279,12023,36069

Greatest Common Factor

We found the factors and prime factorization of 36064 and 36069. The biggest common factor number is the GCF number.
So the greatest common factor 36064 and 36069 is 1.

Also check out the Least Common Multiple of 36064 and 36069

Properties of GCF 36064 and 36069

(i) The GCF of 36064 and 36069 is associative

GCF of 36064 and 36069 = GCF of 36069 and 36064

Related Greatest Common Factor of 36064

Related Greatest Common Factor of 36069

Frequently Asked Questions on GCF of 36064 and 36069

1. What is the GCF of 36064 and 36069?

Answer: GCF of 36064 and 36069 is 1.

2. What are the Factors of 36064?

Answer: Factors of 36064 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 49, 56, 92, 98, 112, 161, 184, 196, 224, 322, 368, 392, 644, 736, 784, 1127, 1288, 1568, 2254, 2576, 4508, 5152, 9016, 18032, 36064. There are 36 integers that are factors of 36064. The greatest factor of 36064 is 36064.

3. What are the Factors of 36069?

Answer: Factors of 36069 are 1, 3, 11, 33, 1093, 3279, 12023, 36069. There are 8 integers that are factors of 36069. The greatest factor of 36069 is 36069.

4. How to Find the GCF of 36064 and 36069?

Answer:

Greatest Common Factor of 36064 and 36069 = 1

Step 1: Find the prime factorization of 36064

36064 = 2 x 2 x 2 x 2 x 2 x 7 x 7 x 23

Step 2: Find the prime factorization of 36069

36069 = 3 x 11 x 1093

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 36064 and 36069 is 1