# Greatest Common Factor of 52 and 59

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 52, 59 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 52 and 59 is 1.

GCF(52,59) = 1

## GCF of 52 and 59

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

GCF of:
and

### Greatest Common Factor of 52 and 59 by Prime factorization method

Prime Factorization of 52

 2 52 2 26 13 13 1

Prime factors of 52 are 2,13. Prime factorization of 52 in exponential form is:

52 = 22×131

Prime Factorization of 59

 59 59 1

Prime factors of 59 are 59. Prime factorization of 59 in exponential form is:

59 = 591

∴ So by taking common prime factors GCF of 52 and 59 is 1

### Greatest Common Factor of 52 and 59 by matching factors method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Greatest Common Factor

We found the factors and prime factorization of 52 and 59. The biggest common factor number is the GCF number.
So the greatest common factor 52 and 59 is 1.

Also check out the Least Common Multiple of 52 and 59

### Properties of GCF 52 and 59

(i) The GCF of 52 and 59 is associative

GCF of 52 and 59 = GCF of 59 and 52

### Frequently Asked Questions on GCF of 52 and 59

1. What is the GCF of 52 and 59?

Answer: GCF of 52 and 59 is 1.

2. What are the Factors of 52?

Answer: Factors of 52 are 1, 2, 4, 13, 26, 52. There are 6 integers that are factors of 52. The greatest factor of 52 is 52.

3. What are the Factors of 59?

Answer: Factors of 59 are 1, 59. There are 2 integers that are factors of 59. The greatest factor of 59 is 59.

4. How to Find the GCF of 52 and 59?

Answer:

Greatest Common Factor of 52 and 59 = 1

Step 1: Find the prime factorization of 52

52 = 2 x 2 x 13

Step 2: Find the prime factorization of 59

59 = 59

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 52 and 59 is 1