# Greatest Common Factor of 44 and 51

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 44, 51 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 44 and 51 is 1.

GCF(44,51) = 1

## GCF of 44 and 51

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

GCF of:
and

### Greatest Common Factor of 44 and 51 by Prime factorization method

Prime Factorization of 44

 2 44 2 22 11 11 1

Prime factors of 44 are 2,11. Prime factorization of 44 in exponential form is:

44 = 22×111

Prime Factorization of 51

 3 51 17 17 1

Prime factors of 51 are 3,17. Prime factorization of 51 in exponential form is:

51 = 31×171

∴ So by taking common prime factors GCF of 44 and 51 is 1

### Greatest Common Factor of 44 and 51 by matching factors method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Greatest Common Factor

We found the factors and prime factorization of 44 and 51. The biggest common factor number is the GCF number.
So the greatest common factor 44 and 51 is 1.

Also check out the Least Common Multiple of 44 and 51

### Properties of GCF 44 and 51

(i) The GCF of 44 and 51 is associative

GCF of 44 and 51 = GCF of 51 and 44

### Frequently Asked Questions on GCF of 44 and 51

1. What is the GCF of 44 and 51?

Answer: GCF of 44 and 51 is 1.

2. What are the Factors of 44?

Answer: Factors of 44 are 1, 2, 4, 11, 22, 44. There are 6 integers that are factors of 44. The greatest factor of 44 is 44.

3. What are the Factors of 51?

Answer: Factors of 51 are 1, 3, 17, 51. There are 4 integers that are factors of 51. The greatest factor of 51 is 51.

4. How to Find the GCF of 44 and 51?

Greatest Common Factor of 44 and 51 = 1

Step 1: Find the prime factorization of 44

44 = 2 x 2 x 11

Step 2: Find the prime factorization of 51

51 = 3 x 17

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 44 and 51 is 1