Greatest Common Factor of 1414 and 1416

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 1414, 1416 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1414 and 1416 is 2.

GCF(1414,1416) = 2

GCF of 1414 and 1416

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

GCF of:
and

Greatest Common Factor of 1414 and 1416

GCF of 1414 and 1416 is 2

Prime Factorization of 1414


2 1414
7 707
101 101
1

Prime factors of 1414 are 2,7,101. Prime factorization of 1414 in exponential form is:

1414 = 21×71×1011

Prime Factorization of 1416


2 1416
2 708
2 354
3 177
59 59
1

Prime factors of 1416 are 2,3,59. Prime factorization of 1416 in exponential form is:

1416 = 23×31×591

∴ So by taking common prime factors GCF of 1414 and 1416 is 2

Greatest Common Factor of 1414 and 1416 by matching factors method

Factors of 1414

List of positive integer factors of 1414 that divides 1414 without a remainder.

1,2,7,14,101,202,707,1414

Factors of 1416

List of positive integer factors of 1416 that divides 1416 without a remainder.

1,2,3,4,6,8,12,24,59,118,177,236,354,472,708,1416

Greatest Common Factor

We found the factors and prime factorization of 1414 and 1416. The biggest common factor number is the GCF number.
So the greatest common factor 1414 and 1416 is 2.

Also check out the Least Common Multiple of 1414 and 1416

Properties of GCF 1414 and 1416

(i) The GCF of 1414 and 1416 is associative

GCF of 1414 and 1416 = GCF of 1416 and 1414

Related Greatest Common Factor of 1414

Related Greatest Common Factor of 1416

Frequently Asked Questions on GCF of 1414 and 1416

1. What is the GCF of 1414 and 1416?

Answer: GCF of 1414 and 1416 is 2.

2. What are the Factors of 1414?

Answer: Factors of 1414 are 1, 2, 7, 14, 101, 202, 707, 1414. There are 8 integers that are factors of 1414. The greatest factor of 1414 is 1414.

3. What are the Factors of 1416?

Answer: Factors of 1416 are 1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 236, 354, 472, 708, 1416. There are 16 integers that are factors of 1416. The greatest factor of 1416 is 1416.

4. How to Find the GCF of 1414 and 1416?

Answer:

Greatest Common Factor of 1414 and 1416 = 2

Step 1: Find the prime factorization of 1414

1414 = 2 x 7 x 101

Step 2: Find the prime factorization of 1416

1416 = 2 x 2 x 2 x 3 x 59

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1414 and 1416 is 2