Greatest Common Factor of 74 and 79

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

• Greatest Common Factor of 74 and 79 by prime factorization method
• Greatest Common Factor of 74 and 79 by matching factors method

Prime Factorization of 74

Prime factors of 74 are 2,37. Prime factorization of 74 in exponential form is:

74 = 2¹×37¹

Prime Factorization of 79

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

79 = 79¹

∴ So by taking common prime factors GCF of 74 and 79 is 1

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 79

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

1,79

Greatest Common Factor

We found the factors and prime factorization of 74 and 79. The biggest common factor number is the GCF number.
So the greatest common factor 74 and 79 is 1.

Also check out the Least Common Multiple of 74 and 79

(i) The GCF of 74 and 79 is associative

GCF of 74 and 79 = GCF of 79 and 74

1. What is the GCF of 74 and 79?

Answer: GCF of 74 and 79 is 1.

2. What are the Factors of 74?

Answer: Factors of 74 are 1, 2, 37, 74. There are 4 integers that are factors of 74. The greatest factor of 74 is 74.

3. 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.

4. How to Find the GCF of 74 and 79?

Answer:

Greatest Common Factor of 74 and 79 = 1

Step 1: Find the prime factorization of 74

74 = 2 x 37

Step 2: Find the prime factorization of 79

79 = 79

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 74 and 79 is 1