Greatest Common Factor of 377 and 383

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

• Greatest Common Factor of 377 and 383 by prime factorization method
• Greatest Common Factor of 377 and 383 by matching factors method

Prime Factorization of 377

Prime factors of 377 are 13,29. Prime factorization of 377 in exponential form is:

377 = 13¹×29¹

Prime Factorization of 383

Prime factors of 383 are 383. Prime factorization of 383 in exponential form is:

383 = 383¹

∴ So by taking common prime factors GCF of 377 and 383 is 1

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Greatest Common Factor

We found the factors and prime factorization of 377 and 383. The biggest common factor number is the GCF number.
So the greatest common factor 377 and 383 is 1.

Also check out the Least Common Multiple of 377 and 383

(i) The GCF of 377 and 383 is associative

GCF of 377 and 383 = GCF of 383 and 377

1. What is the GCF of 377 and 383?

Answer: GCF of 377 and 383 is 1.

2. What are the Factors of 377?

Answer: Factors of 377 are 1, 13, 29, 377. There are 4 integers that are factors of 377. The greatest factor of 377 is 377.

3. What are the Factors of 383?

Answer: Factors of 383 are 1, 383. There are 2 integers that are factors of 383. The greatest factor of 383 is 383.

4. How to Find the GCF of 377 and 383?

Answer:

Greatest Common Factor of 377 and 383 = 1

Step 1: Find the prime factorization of 377

377 = 13 x 29

Step 2: Find the prime factorization of 383

383 = 383

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 377 and 383 is 1