Greatest Common Factor of 77 and 83

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

• Greatest Common Factor of 77 and 83 by prime factorization method
• Greatest Common Factor of 77 and 83 by matching factors method

Prime Factorization of 77

Prime factors of 77 are 7,11. Prime factorization of 77 in exponential form is:

77 = 7¹×11¹

Prime Factorization of 83

Prime factors of 83 are 83. Prime factorization of 83 in exponential form is:

83 = 83¹

∴ So by taking common prime factors GCF of 77 and 83 is 1

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Greatest Common Factor

We found the factors and prime factorization of 77 and 83. The biggest common factor number is the GCF number.
So the greatest common factor 77 and 83 is 1.

Also check out the Least Common Multiple of 77 and 83

(i) The GCF of 77 and 83 is associative

GCF of 77 and 83 = GCF of 83 and 77

1. What is the GCF of 77 and 83?

Answer: GCF of 77 and 83 is 1.

2. What are the Factors of 77?

Answer: Factors of 77 are 1, 7, 11, 77. There are 4 integers that are factors of 77. The greatest factor of 77 is 77.

3. What are the Factors of 83?

Answer: Factors of 83 are 1, 83. There are 2 integers that are factors of 83. The greatest factor of 83 is 83.

4. How to Find the GCF of 77 and 83?

Answer:

Greatest Common Factor of 77 and 83 = 1

Step 1: Find the prime factorization of 77

77 = 7 x 11

Step 2: Find the prime factorization of 83

83 = 83

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 77 and 83 is 1