Greatest Common Factor of 58 and 59

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

• Greatest Common Factor of 58 and 59 by prime factorization method
• Greatest Common Factor of 58 and 59 by matching factors method

Prime Factorization of 58

Prime factors of 58 are 2,29. Prime factorization of 58 in exponential form is:

58 = 2¹×29¹

Prime Factorization of 59

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

59 = 59¹

∴ So by taking common prime factors GCF of 58 and 59 is 1

Factors of 58

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

1,2,29,58

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 58 and 59. The biggest common factor number is the GCF number.
So the greatest common factor 58 and 59 is 1.

Also check out the Least Common Multiple of 58 and 59

(i) The GCF of 58 and 59 is associative

GCF of 58 and 59 = GCF of 59 and 58

1. What is the GCF of 58 and 59?

Answer: GCF of 58 and 59 is 1.

2. 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.

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 58 and 59?

Answer:

Greatest Common Factor of 58 and 59 = 1

Step 1: Find the prime factorization of 58

58 = 2 x 29

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 58 and 59 is 1