Greatest Common Factor of 1612 and 1613

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 1612, 1613 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1612 and 1613 is 1.

GCF(1612,1613) = 1

GCF of 1612 and 1613

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

GCF of:
and

Greatest Common Factor of 1612 and 1613

GCF of 1612 and 1613 is 1

Prime Factorization of 1612


2 1612
2 806
13 403
31 31
1

Prime factors of 1612 are 2,13,31. Prime factorization of 1612 in exponential form is:

1612 = 22×131×311

Prime Factorization of 1613


1613 1613
1

Prime factors of 1613 are 1613. Prime factorization of 1613 in exponential form is:

1613 = 16131

∴ So by taking common prime factors GCF of 1612 and 1613 is 1

Greatest Common Factor of 1612 and 1613 by matching factors method

Factors of 1612

List of positive integer factors of 1612 that divides 1612 without a remainder.

1,2,4,13,26,31,52,62,124,403,806,1612

Factors of 1613

List of positive integer factors of 1613 that divides 1613 without a remainder.

1,1613

Greatest Common Factor

We found the factors and prime factorization of 1612 and 1613. The biggest common factor number is the GCF number.
So the greatest common factor 1612 and 1613 is 1.

Also check out the Least Common Multiple of 1612 and 1613

Properties of GCF 1612 and 1613

(i) The GCF of 1612 and 1613 is associative

GCF of 1612 and 1613 = GCF of 1613 and 1612

Related Greatest Common Factor of 1612

Related Greatest Common Factor of 1613

Frequently Asked Questions on GCF of 1612 and 1613

1. What is the GCF of 1612 and 1613?

Answer: GCF of 1612 and 1613 is 1.

2. What are the Factors of 1612?

Answer: Factors of 1612 are 1, 2, 4, 13, 26, 31, 52, 62, 124, 403, 806, 1612. There are 12 integers that are factors of 1612. The greatest factor of 1612 is 1612.

3. What are the Factors of 1613?

Answer: Factors of 1613 are 1, 1613. There are 2 integers that are factors of 1613. The greatest factor of 1613 is 1613.

4. How to Find the GCF of 1612 and 1613?

Answer:

Greatest Common Factor of 1612 and 1613 = 1

Step 1: Find the prime factorization of 1612

1612 = 2 x 2 x 13 x 31

Step 2: Find the prime factorization of 1613

1613 = 1613

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 1612 and 1613 is 1