Greatest Common Factor of 73 and 77

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

• Greatest Common Factor of 73 and 77 by prime factorization method
• Greatest Common Factor of 73 and 77 by matching factors method

Prime Factorization of 73

Prime factors of 73 are 73. Prime factorization of 73 in exponential form is:

73 = 73¹

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 73 and 77 is 1

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

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 73 and 77. The biggest common factor number is the GCF number.
So the greatest common factor 73 and 77 is 1.

Also check out the Least Common Multiple of 73 and 77

(i) The GCF of 73 and 77 is associative

GCF of 73 and 77 = GCF of 77 and 73

1. What is the GCF of 73 and 77?

Answer: GCF of 73 and 77 is 1.

2. What are the Factors of 73?

Answer: Factors of 73 are 1, 73. There are 2 integers that are factors of 73. The greatest factor of 73 is 73.

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 73 and 77?

Answer:

Greatest Common Factor of 73 and 77 = 1

Step 1: Find the prime factorization of 73

73 = 73

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 73 and 77 is 1