Greatest Common Factor of 1672 and 1676

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 1672, 1676 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1672 and 1676 is 4.

GCF(1672,1676) = 4

GCF of 1672 and 1676

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

GCF of:
and

Greatest Common Factor of 1672 and 1676

GCF of 1672 and 1676 is 4

Prime Factorization of 1672


2 1672
2 836
2 418
11 209
19 19
1

Prime factors of 1672 are 2,11,19. Prime factorization of 1672 in exponential form is:

1672 = 23×111×191

Prime Factorization of 1676


2 1676
2 838
419 419
1

Prime factors of 1676 are 2,419. Prime factorization of 1676 in exponential form is:

1676 = 22×4191

∴ So by taking common prime factors GCF of 1672 and 1676 is 4

Greatest Common Factor of 1672 and 1676 by matching factors method

Factors of 1672

List of positive integer factors of 1672 that divides 1672 without a remainder.

1,2,4,8,11,19,22,38,44,76,88,152,209,418,836,1672

Factors of 1676

List of positive integer factors of 1676 that divides 1676 without a remainder.

1,2,4,419,838,1676

Greatest Common Factor

We found the factors and prime factorization of 1672 and 1676. The biggest common factor number is the GCF number.
So the greatest common factor 1672 and 1676 is 4.

Also check out the Least Common Multiple of 1672 and 1676

Properties of GCF 1672 and 1676

(i) The GCF of 1672 and 1676 is associative

GCF of 1672 and 1676 = GCF of 1676 and 1672

Related Greatest Common Factor of 1672

Related Greatest Common Factor of 1676

Frequently Asked Questions on GCF of 1672 and 1676

1. What is the GCF of 1672 and 1676?

Answer: GCF of 1672 and 1676 is 4.

2. What are the Factors of 1672?

Answer: Factors of 1672 are 1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 152, 209, 418, 836, 1672. There are 16 integers that are factors of 1672. The greatest factor of 1672 is 1672.

3. What are the Factors of 1676?

Answer: Factors of 1676 are 1, 2, 4, 419, 838, 1676. There are 6 integers that are factors of 1676. The greatest factor of 1676 is 1676.

4. How to Find the GCF of 1672 and 1676?

Answer:

Greatest Common Factor of 1672 and 1676 = 4

Step 1: Find the prime factorization of 1672

1672 = 2 x 2 x 2 x 11 x 19

Step 2: Find the prime factorization of 1676

1676 = 2 x 2 x 419

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1672 and 1676 is 4