Greatest Common Factor of 59 and 67

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

• Greatest Common Factor of 59 and 67 by prime factorization method
• Greatest Common Factor of 59 and 67 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 67

Prime factors of 67 are 67.Prime factorization of 67 in exponential form is:

67 = 67¹

∴ So by taking common prime factors GCF of 59 and 67 is 1

Factors of 59

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

1,59

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Greatest Common Factor

We found the factors and prime factorization of 59 and 67. The biggest common factor number is the GCF number.
So the greatest common factor 59 and 67 is 1.

Also check out the Least Common Multiple of 59 and 67

(i) The GCF of 59 and 67 is associative

GCF of 59 and 67 = GCF of 67 and 59

1. What is the GCF of 59 and 67?

Answer: GCF of 59 and 67 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 67?

Answer: Factors of 67 are 1, 67. There are 2 integers that are factors of 67. The greatest factor of 67 is 67.

4. How to Find the GCF of 59 and 67?

Answer:

Greatest Common Factor of 59 and 67 = 1

Step 1: Find the prime factorization of 59

59 = 59

Step 2: Find the prime factorization of 67

67 = 67

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 67 is 1