Greatest Common Factor of 437 and 443

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

• Greatest Common Factor of 437 and 443 by prime factorization method
• Greatest Common Factor of 437 and 443 by matching factors method

Prime Factorization of 437

Prime factors of 437 are 19,23. Prime factorization of 437 in exponential form is:

437 = 19¹×23¹

Prime Factorization of 443

Prime factors of 443 are 443. Prime factorization of 443 in exponential form is:

443 = 443¹

∴ So by taking common prime factors GCF of 437 and 443 is 1

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Greatest Common Factor

We found the factors and prime factorization of 437 and 443. The biggest common factor number is the GCF number.
So the greatest common factor 437 and 443 is 1.

Also check out the Least Common Multiple of 437 and 443

(i) The GCF of 437 and 443 is associative

GCF of 437 and 443 = GCF of 443 and 437

1. What is the GCF of 437 and 443?

Answer: GCF of 437 and 443 is 1.

2. What are the Factors of 437?

Answer: Factors of 437 are 1, 19, 23, 437. There are 4 integers that are factors of 437. The greatest factor of 437 is 437.

3. What are the Factors of 443?

Answer: Factors of 443 are 1, 443. There are 2 integers that are factors of 443. The greatest factor of 443 is 443.

4. How to Find the GCF of 437 and 443?

Answer:

Greatest Common Factor of 437 and 443 = 1

Step 1: Find the prime factorization of 437

437 = 19 x 23

Step 2: Find the prime factorization of 443

443 = 443

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 437 and 443 is 1