Greatest Common Factor of 49 and 51

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 49, 51 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 49 and 51 is 1.

GCF(49,51) = 1

GCF of 49 and 51

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

GCF of:
and

Greatest Common Factor of 49 and 51

GCF of 49 and 51 is 1

Prime Factorization of 49


7 49
7 7
1

Prime factors of 49 are 7. Prime factorization of 49 in exponential form is:

49 = 72

Prime Factorization of 51


3 51
17 17
1

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

51 = 31×171

∴ So by taking common prime factors GCF of 49 and 51 is 1

Greatest Common Factor of 49 and 51 by matching factors method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

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 49 and 51. The biggest common factor number is the GCF number.
So the greatest common factor 49 and 51 is 1.

Also check out the Least Common Multiple of 49 and 51

Properties of GCF 49 and 51

(i) The GCF of 49 and 51 is associative

GCF of 49 and 51 = GCF of 51 and 49

Related Greatest Common Factor of 49

Related Greatest Common Factor of 51

Frequently Asked Questions on GCF of 49 and 51

1. What is the GCF of 49 and 51?

Answer: GCF of 49 and 51 is 1.

2. What are the Factors of 49?

Answer: Factors of 49 are 1, 7, 49. There are 3 integers that are factors of 49. The greatest factor of 49 is 49.

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 49 and 51?

Answer:

Greatest Common Factor of 49 and 51 = 1

Step 1: Find the prime factorization of 49

49 = 7 x 7

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 49 and 51 is 1