Greatest Common Factor of 1456 and 1461

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 1456, 1461 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1456 and 1461 is 1.

GCF(1456,1461) = 1

GCF of 1456 and 1461

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

GCF of:
and

Greatest Common Factor of 1456 and 1461

GCF of 1456 and 1461 is 1

Prime Factorization of 1456


2 1456
2 728
2 364
2 182
7 91
13 13
1

Prime factors of 1456 are 2,7,13. Prime factorization of 1456 in exponential form is:

1456 = 24×71×131

Prime Factorization of 1461


3 1461
487 487
1

Prime factors of 1461 are 3,487. Prime factorization of 1461 in exponential form is:

1461 = 31×4871

∴ So by taking common prime factors GCF of 1456 and 1461 is 1

Greatest Common Factor of 1456 and 1461 by matching factors method

Factors of 1456

List of positive integer factors of 1456 that divides 1456 without a remainder.

1,2,4,7,8,13,14,16,26,28,52,56,91,104,112,182,208,364,728,1456

Factors of 1461

List of positive integer factors of 1461 that divides 1461 without a remainder.

1,3,487,1461

Greatest Common Factor

We found the factors and prime factorization of 1456 and 1461. The biggest common factor number is the GCF number.
So the greatest common factor 1456 and 1461 is 1.

Also check out the Least Common Multiple of 1456 and 1461

Properties of GCF 1456 and 1461

(i) The GCF of 1456 and 1461 is associative

GCF of 1456 and 1461 = GCF of 1461 and 1456

Related Greatest Common Factor of 1456

Related Greatest Common Factor of 1461

Frequently Asked Questions on GCF of 1456 and 1461

1. What is the GCF of 1456 and 1461?

Answer: GCF of 1456 and 1461 is 1.

2. What are the Factors of 1456?

Answer: Factors of 1456 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456. There are 20 integers that are factors of 1456. The greatest factor of 1456 is 1456.

3. What are the Factors of 1461?

Answer: Factors of 1461 are 1, 3, 487, 1461. There are 4 integers that are factors of 1461. The greatest factor of 1461 is 1461.

4. How to Find the GCF of 1456 and 1461?

Answer:

Greatest Common Factor of 1456 and 1461 = 1

Step 1: Find the prime factorization of 1456

1456 = 2 x 2 x 2 x 2 x 7 x 13

Step 2: Find the prime factorization of 1461

1461 = 3 x 487

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 1456 and 1461 is 1