Greatest Common Factor of 5064 and 5069

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 5064, 5069 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5064 and 5069 is 1.

GCF(5064,5069) = 1

GCF of 5064 and 5069

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

GCF of:
and

Greatest Common Factor of 5064 and 5069

GCF of 5064 and 5069 is 1

Prime Factorization of 5064


2 5064
2 2532
2 1266
3 633
211 211
1

Prime factors of 5064 are 2,3,211. Prime factorization of 5064 in exponential form is:

5064 = 23×31×2111

Prime Factorization of 5069


37 5069
137 137
1

Prime factors of 5069 are 37,137. Prime factorization of 5069 in exponential form is:

5069 = 371×1371

∴ So by taking common prime factors GCF of 5064 and 5069 is 1

Greatest Common Factor of 5064 and 5069 by matching factors method

Factors of 5064

List of positive integer factors of 5064 that divides 5064 without a remainder.

1,2,3,4,6,8,12,24,211,422,633,844,1266,1688,2532,5064

Factors of 5069

List of positive integer factors of 5069 that divides 5069 without a remainder.

1,37,137,5069

Greatest Common Factor

We found the factors and prime factorization of 5064 and 5069. The biggest common factor number is the GCF number.
So the greatest common factor 5064 and 5069 is 1.

Also check out the Least Common Multiple of 5064 and 5069

Properties of GCF 5064 and 5069

(i) The GCF of 5064 and 5069 is associative

GCF of 5064 and 5069 = GCF of 5069 and 5064

Related Greatest Common Factor of 5064

Related Greatest Common Factor of 5069

Frequently Asked Questions on GCF of 5064 and 5069

1. What is the GCF of 5064 and 5069?

Answer: GCF of 5064 and 5069 is 1.

2. What are the Factors of 5064?

Answer: Factors of 5064 are 1, 2, 3, 4, 6, 8, 12, 24, 211, 422, 633, 844, 1266, 1688, 2532, 5064. There are 16 integers that are factors of 5064. The greatest factor of 5064 is 5064.

3. What are the Factors of 5069?

Answer: Factors of 5069 are 1, 37, 137, 5069. There are 4 integers that are factors of 5069. The greatest factor of 5069 is 5069.

4. How to Find the GCF of 5064 and 5069?

Answer:

Greatest Common Factor of 5064 and 5069 = 1

Step 1: Find the prime factorization of 5064

5064 = 2 x 2 x 2 x 3 x 211

Step 2: Find the prime factorization of 5069

5069 = 37 x 137

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 5064 and 5069 is 1