Greatest Common Factor of 71 and 77

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

• Greatest Common Factor of 71 and 77 by prime factorization method
• Greatest Common Factor of 71 and 77 by matching factors method

Prime Factorization of 71

Prime factors of 71 are 71. Prime factorization of 71 in exponential form is:

71 = 71¹

Prime Factorization of 77

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

77 = 7¹×11¹

∴ So by taking common prime factors GCF of 71 and 77 is 1

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 77

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

1,7,11,77

Greatest Common Factor

We found the factors and prime factorization of 71 and 77. The biggest common factor number is the GCF number.
So the greatest common factor 71 and 77 is 1.

Also check out the Least Common Multiple of 71 and 77

(i) The GCF of 71 and 77 is associative

GCF of 71 and 77 = GCF of 77 and 71

1. What is the GCF of 71 and 77?

Answer: GCF of 71 and 77 is 1.

2. What are the Factors of 71?

Answer: Factors of 71 are 1, 71. There are 2 integers that are factors of 71. The greatest factor of 71 is 71.

3. 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.

4. How to Find the GCF of 71 and 77?

Answer:

Greatest Common Factor of 71 and 77 = 1

Step 1: Find the prime factorization of 71

71 = 71

Step 2: Find the prime factorization of 77

77 = 7 x 11

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 71 and 77 is 1