Greatest Common Factor of 14454 and 14462

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 14454, 14462 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 14454 and 14462 is 2.

GCF(14454,14462) = 2

GCF of 14454 and 14462

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

GCF of:
and

Greatest Common Factor of 14454 and 14462

GCF of 14454 and 14462 is 2

Prime Factorization of 14454


2 14454
3 7227
3 2409
11 803
73 73
1

Prime factors of 14454 are 2,3,11,73. Prime factorization of 14454 in exponential form is:

14454 = 21×32×111×731

Prime Factorization of 14462


2 14462
7 7231
1033 1033
1

Prime factors of 14462 are 2,7,1033. Prime factorization of 14462 in exponential form is:

14462 = 21×71×10331

∴ So by taking common prime factors GCF of 14454 and 14462 is 2

Greatest Common Factor of 14454 and 14462 by matching factors method

Factors of 14454

List of positive integer factors of 14454 that divides 14454 without a remainder.

1,2,3,6,9,11,18,22,33,66,73,99,146,198,219,438,657,803,1314,1606,2409,4818,7227,14454

Factors of 14462

List of positive integer factors of 14462 that divides 14462 without a remainder.

1,2,7,14,1033,2066,7231,14462

Greatest Common Factor

We found the factors and prime factorization of 14454 and 14462. The biggest common factor number is the GCF number.
So the greatest common factor 14454 and 14462 is 2.

Also check out the Least Common Multiple of 14454 and 14462

Properties of GCF 14454 and 14462

(i) The GCF of 14454 and 14462 is associative

GCF of 14454 and 14462 = GCF of 14462 and 14454

Related Greatest Common Factor of 14454

Related Greatest Common Factor of 14462

Frequently Asked Questions on GCF of 14454 and 14462

1. What is the GCF of 14454 and 14462?

Answer: GCF of 14454 and 14462 is 2.

2. What are the Factors of 14454?

Answer: Factors of 14454 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 73, 99, 146, 198, 219, 438, 657, 803, 1314, 1606, 2409, 4818, 7227, 14454. There are 24 integers that are factors of 14454. The greatest factor of 14454 is 14454.

3. What are the Factors of 14462?

Answer: Factors of 14462 are 1, 2, 7, 14, 1033, 2066, 7231, 14462. There are 8 integers that are factors of 14462. The greatest factor of 14462 is 14462.

4. How to Find the GCF of 14454 and 14462?

Answer:

Greatest Common Factor of 14454 and 14462 = 2

Step 1: Find the prime factorization of 14454

14454 = 2 x 3 x 3 x 11 x 73

Step 2: Find the prime factorization of 14462

14462 = 2 x 7 x 1033

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 14454 and 14462 is 2