Greatest Common Factor of 4454 and 4462

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 4454, 4462 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4454 and 4462 is 2.

GCF(4454,4462) = 2

GCF of 4454 and 4462

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

GCF of:
and

Greatest Common Factor of 4454 and 4462

GCF of 4454 and 4462 is 2

Prime Factorization of 4454


2 4454
17 2227
131 131
1

Prime factors of 4454 are 2,17,131. Prime factorization of 4454 in exponential form is:

4454 = 21×171×1311

Prime Factorization of 4462


2 4462
23 2231
97 97
1

Prime factors of 4462 are 2,23,97. Prime factorization of 4462 in exponential form is:

4462 = 21×231×971

∴ So by taking common prime factors GCF of 4454 and 4462 is 2

Greatest Common Factor of 4454 and 4462 by matching factors method

Factors of 4454

List of positive integer factors of 4454 that divides 4454 without a remainder.

1,2,17,34,131,262,2227,4454

Factors of 4462

List of positive integer factors of 4462 that divides 4462 without a remainder.

1,2,23,46,97,194,2231,4462

Greatest Common Factor

We found the factors and prime factorization of 4454 and 4462. The biggest common factor number is the GCF number.
So the greatest common factor 4454 and 4462 is 2.

Also check out the Least Common Multiple of 4454 and 4462

Properties of GCF 4454 and 4462

(i) The GCF of 4454 and 4462 is associative

GCF of 4454 and 4462 = GCF of 4462 and 4454

Related Greatest Common Factor of 4454

Related Greatest Common Factor of 4462

Frequently Asked Questions on GCF of 4454 and 4462

1. What is the GCF of 4454 and 4462?

Answer: GCF of 4454 and 4462 is 2.

2. What are the Factors of 4454?

Answer: Factors of 4454 are 1, 2, 17, 34, 131, 262, 2227, 4454. There are 8 integers that are factors of 4454. The greatest factor of 4454 is 4454.

3. What are the Factors of 4462?

Answer: Factors of 4462 are 1, 2, 23, 46, 97, 194, 2231, 4462. There are 8 integers that are factors of 4462. The greatest factor of 4462 is 4462.

4. How to Find the GCF of 4454 and 4462?

Answer:

Greatest Common Factor of 4454 and 4462 = 2

Step 1: Find the prime factorization of 4454

4454 = 2 x 17 x 131

Step 2: Find the prime factorization of 4462

4462 = 2 x 23 x 97

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 4454 and 4462 is 2