Greatest Common Factor of 47 and 53

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

• Greatest Common Factor of 47 and 53 by prime factorization method
• Greatest Common Factor of 47 and 53 by matching factors method

Prime Factorization of 47

Prime factors of 47 are 47. Prime factorization of 47 in exponential form is:

47 = 47¹

Prime Factorization of 53

Prime factors of 53 are 53.Prime factorization of 53 in exponential form is:

53 = 53¹

∴ So by taking common prime factors GCF of 47 and 53 is 1

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Greatest Common Factor

We found the factors and prime factorization of 47 and 53. The biggest common factor number is the GCF number.
So the greatest common factor 47 and 53 is 1.

Also check out the Least Common Multiple of 47 and 53

(i) The GCF of 47 and 53 is associative

GCF of 47 and 53 = GCF of 53 and 47

1. What is the GCF of 47 and 53?

Answer: GCF of 47 and 53 is 1.

2. What are the Factors of 47?

Answer: Factors of 47 are 1, 47. There are 2 integers that are factors of 47. The greatest factor of 47 is 47.

3. What are the Factors of 53?

Answer: Factors of 53 are 1, 53. There are 2 integers that are factors of 53. The greatest factor of 53 is 53.

4. How to Find the GCF of 47 and 53?

Answer:

Greatest Common Factor of 47 and 53 = 1

Step 1: Find the prime factorization of 47

47 = 47

Step 2: Find the prime factorization of 53

53 = 53

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 47 and 53 is 1