Greatest Common Factor of 79 and 82

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

• Greatest Common Factor of 79 and 82 by prime factorization method
• Greatest Common Factor of 79 and 82 by matching factors method

Prime Factorization of 79

Prime factors of 79 are 79. Prime factorization of 79 in exponential form is:

79 = 79¹

Prime Factorization of 82

Prime factors of 82 are 2.Prime factorization of 82 in exponential form is:

82 = 2¹×41¹

∴ So by taking common prime factors GCF of 79 and 82 is 1

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Greatest Common Factor

We found the factors and prime factorization of 79 and 82. The biggest common factor number is the GCF number.
So the greatest common factor 79 and 82 is 1.

Also check out the Least Common Multiple of 79 and 82

(i) The GCF of 79 and 82 is associative

GCF of 79 and 82 = GCF of 82 and 79

1. What is the GCF of 79 and 82?

Answer: GCF of 79 and 82 is 1.

2. What are the Factors of 79?

Answer: Factors of 79 are 1, 79. There are 2 integers that are factors of 79. The greatest factor of 79 is 79.

3. What are the Factors of 82?

Answer: Factors of 82 are 1, 2, 41, 82. There are 4 integers that are factors of 82. The greatest factor of 82 is 82.

4. How to Find the GCF of 79 and 82?

Answer:

Greatest Common Factor of 79 and 82 = 1

Step 1: Find the prime factorization of 79

79 = 79

Step 2: Find the prime factorization of 82

82 = 2 x 41

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 79 and 82 is 1