Greatest Common Factor of 1372 and 1379

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 1372, 1379 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1372 and 1379 is 7.

GCF(1372,1379) = 7

GCF of 1372 and 1379

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

GCF of:
and

Greatest Common Factor of 1372 and 1379

GCF of 1372 and 1379 is 7

Prime Factorization of 1372


2 1372
2 686
7 343
7 49
7 7
1

Prime factors of 1372 are 2,7. Prime factorization of 1372 in exponential form is:

1372 = 22×73

Prime Factorization of 1379


7 1379
197 197
1

Prime factors of 1379 are 7,197. Prime factorization of 1379 in exponential form is:

1379 = 71×1971

∴ So by taking common prime factors GCF of 1372 and 1379 is 7

Greatest Common Factor of 1372 and 1379 by matching factors method

Factors of 1372

List of positive integer factors of 1372 that divides 1372 without a remainder.

1,2,4,7,14,28,49,98,196,343,686,1372

Factors of 1379

List of positive integer factors of 1379 that divides 1379 without a remainder.

1,7,197,1379

Greatest Common Factor

We found the factors and prime factorization of 1372 and 1379. The biggest common factor number is the GCF number.
So the greatest common factor 1372 and 1379 is 7.

Also check out the Least Common Multiple of 1372 and 1379

Properties of GCF 1372 and 1379

(i) The GCF of 1372 and 1379 is associative

GCF of 1372 and 1379 = GCF of 1379 and 1372

Related Greatest Common Factor of 1372

Related Greatest Common Factor of 1379

Frequently Asked Questions on GCF of 1372 and 1379

1. What is the GCF of 1372 and 1379?

Answer: GCF of 1372 and 1379 is 7.

2. What are the Factors of 1372?

Answer: Factors of 1372 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372. There are 12 integers that are factors of 1372. The greatest factor of 1372 is 1372.

3. What are the Factors of 1379?

Answer: Factors of 1379 are 1, 7, 197, 1379. There are 4 integers that are factors of 1379. The greatest factor of 1379 is 1379.

4. How to Find the GCF of 1372 and 1379?

Answer:

Greatest Common Factor of 1372 and 1379 = 7

Step 1: Find the prime factorization of 1372

1372 = 2 x 2 x 7 x 7 x 7

Step 2: Find the prime factorization of 1379

1379 = 7 x 197

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 1372 and 1379 is 7