Greatest Common Factor of 53 and 58

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

• Greatest Common Factor of 53 and 58 by prime factorization method
• Greatest Common Factor of 53 and 58 by matching factors method

Prime Factorization of 53

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

53 = 53¹

Prime Factorization of 58

Prime factors of 58 are 2.Prime factorization of 58 in exponential form is:

58 = 2¹×29¹

∴ So by taking common prime factors GCF of 53 and 58 is 1

Factors of 53

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

1,53

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Greatest Common Factor

We found the factors and prime factorization of 53 and 58. The biggest common factor number is the GCF number.
So the greatest common factor 53 and 58 is 1.

Also check out the Least Common Multiple of 53 and 58

(i) The GCF of 53 and 58 is associative

GCF of 53 and 58 = GCF of 58 and 53

1. What is the GCF of 53 and 58?

Answer: GCF of 53 and 58 is 1.

2. 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.

3. What are the Factors of 58?

Answer: Factors of 58 are 1, 2, 29, 58. There are 4 integers that are factors of 58. The greatest factor of 58 is 58.

4. How to Find the GCF of 53 and 58?

Answer:

Greatest Common Factor of 53 and 58 = 1

Step 1: Find the prime factorization of 53

53 = 53

Step 2: Find the prime factorization of 58

58 = 2 x 29

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 53 and 58 is 1