Greatest Common Factor of 1407 and 1412

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 1407, 1412 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1407 and 1412 is 1.

GCF(1407,1412) = 1

GCF of 1407 and 1412

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

GCF of:
and

Greatest Common Factor of 1407 and 1412

GCF of 1407 and 1412 is 1

Prime Factorization of 1407


3 1407
7 469
67 67
1

Prime factors of 1407 are 3,7,67. Prime factorization of 1407 in exponential form is:

1407 = 31×71×671

Prime Factorization of 1412


2 1412
2 706
353 353
1

Prime factors of 1412 are 2,353. Prime factorization of 1412 in exponential form is:

1412 = 22×3531

∴ So by taking common prime factors GCF of 1407 and 1412 is 1

Greatest Common Factor of 1407 and 1412 by matching factors method

Factors of 1407

List of positive integer factors of 1407 that divides 1407 without a remainder.

1,3,7,21,67,201,469,1407

Factors of 1412

List of positive integer factors of 1412 that divides 1412 without a remainder.

1,2,4,353,706,1412

Greatest Common Factor

We found the factors and prime factorization of 1407 and 1412. The biggest common factor number is the GCF number.
So the greatest common factor 1407 and 1412 is 1.

Also check out the Least Common Multiple of 1407 and 1412

Properties of GCF 1407 and 1412

(i) The GCF of 1407 and 1412 is associative

GCF of 1407 and 1412 = GCF of 1412 and 1407

Related Greatest Common Factor of 1407

Related Greatest Common Factor of 1412

Frequently Asked Questions on GCF of 1407 and 1412

1. What is the GCF of 1407 and 1412?

Answer: GCF of 1407 and 1412 is 1.

2. What are the Factors of 1407?

Answer: Factors of 1407 are 1, 3, 7, 21, 67, 201, 469, 1407. There are 8 integers that are factors of 1407. The greatest factor of 1407 is 1407.

3. What are the Factors of 1412?

Answer: Factors of 1412 are 1, 2, 4, 353, 706, 1412. There are 6 integers that are factors of 1412. The greatest factor of 1412 is 1412.

4. How to Find the GCF of 1407 and 1412?

Answer:

Greatest Common Factor of 1407 and 1412 = 1

Step 1: Find the prime factorization of 1407

1407 = 3 x 7 x 67

Step 2: Find the prime factorization of 1412

1412 = 2 x 2 x 353

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 1407 and 1412 is 1