Greatest Common Factor of 59 and 65

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

• Greatest Common Factor of 59 and 65 by prime factorization method
• Greatest Common Factor of 59 and 65 by matching factors method

Prime Factorization of 59

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

59 = 59¹

Prime Factorization of 65

Prime factors of 65 are 5.Prime factorization of 65 in exponential form is:

65 = 5¹×13¹

∴ So by taking common prime factors GCF of 59 and 65 is 1

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Greatest Common Factor

We found the factors and prime factorization of 59 and 65. The biggest common factor number is the GCF number.
So the greatest common factor 59 and 65 is 1.

Also check out the Least Common Multiple of 59 and 65

(i) The GCF of 59 and 65 is associative

GCF of 59 and 65 = GCF of 65 and 59

1. What is the GCF of 59 and 65?

Answer: GCF of 59 and 65 is 1.

2. 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.

3. What are the Factors of 65?

Answer: Factors of 65 are 1, 5, 13, 65. There are 4 integers that are factors of 65. The greatest factor of 65 is 65.

4. How to Find the GCF of 59 and 65?

Answer:

Greatest Common Factor of 59 and 65 = 1

Step 1: Find the prime factorization of 59

59 = 59

Step 2: Find the prime factorization of 65

65 = 5 x 13

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 59 and 65 is 1