Greatest Common Factor of 2374 and 2377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2374, 2377 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2374 and 2377 is 1.

GCF(2374,2377) = 1

GCF of 2374 and 2377

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

GCF of:
and

Greatest Common Factor of 2374 and 2377

GCF of 2374 and 2377 is 1

Prime Factorization of 2374


2 2374
1187 1187
1

Prime factors of 2374 are 2,1187. Prime factorization of 2374 in exponential form is:

2374 = 21×11871

Prime Factorization of 2377


2377 2377
1

Prime factors of 2377 are 2377. Prime factorization of 2377 in exponential form is:

2377 = 23771

∴ So by taking common prime factors GCF of 2374 and 2377 is 1

Greatest Common Factor of 2374 and 2377 by matching factors method

Factors of 2374

List of positive integer factors of 2374 that divides 2374 without a remainder.

1,2,1187,2374

Factors of 2377

List of positive integer factors of 2377 that divides 2377 without a remainder.

1,2377

Greatest Common Factor

We found the factors and prime factorization of 2374 and 2377. The biggest common factor number is the GCF number.
So the greatest common factor 2374 and 2377 is 1.

Also check out the Least Common Multiple of 2374 and 2377

Properties of GCF 2374 and 2377

(i) The GCF of 2374 and 2377 is associative

GCF of 2374 and 2377 = GCF of 2377 and 2374

Related Greatest Common Factor of 2374

Related Greatest Common Factor of 2377

Frequently Asked Questions on GCF of 2374 and 2377

1. What is the GCF of 2374 and 2377?

Answer: GCF of 2374 and 2377 is 1.

2. What are the Factors of 2374?

Answer: Factors of 2374 are 1, 2, 1187, 2374. There are 4 integers that are factors of 2374. The greatest factor of 2374 is 2374.

3. What are the Factors of 2377?

Answer: Factors of 2377 are 1, 2377. There are 2 integers that are factors of 2377. The greatest factor of 2377 is 2377.

4. How to Find the GCF of 2374 and 2377?

Answer:

Greatest Common Factor of 2374 and 2377 = 1

Step 1: Find the prime factorization of 2374

2374 = 2 x 1187

Step 2: Find the prime factorization of 2377

2377 = 2377

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 2374 and 2377 is 1