Greatest Common Factor of 1646 and 1651

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 1646, 1651 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1646 and 1651 is 1.

GCF(1646,1651) = 1

GCF of 1646 and 1651

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

GCF of:
and

Greatest Common Factor of 1646 and 1651

GCF of 1646 and 1651 is 1

Prime Factorization of 1646


2 1646
823 823
1

Prime factors of 1646 are 2,823. Prime factorization of 1646 in exponential form is:

1646 = 21×8231

Prime Factorization of 1651


13 1651
127 127
1

Prime factors of 1651 are 13,127. Prime factorization of 1651 in exponential form is:

1651 = 131×1271

∴ So by taking common prime factors GCF of 1646 and 1651 is 1

Greatest Common Factor of 1646 and 1651 by matching factors method

Factors of 1646

List of positive integer factors of 1646 that divides 1646 without a remainder.

1,2,823,1646

Factors of 1651

List of positive integer factors of 1651 that divides 1651 without a remainder.

1,13,127,1651

Greatest Common Factor

We found the factors and prime factorization of 1646 and 1651. The biggest common factor number is the GCF number.
So the greatest common factor 1646 and 1651 is 1.

Also check out the Least Common Multiple of 1646 and 1651

Properties of GCF 1646 and 1651

(i) The GCF of 1646 and 1651 is associative

GCF of 1646 and 1651 = GCF of 1651 and 1646

Related Greatest Common Factor of 1646

Related Greatest Common Factor of 1651

Frequently Asked Questions on GCF of 1646 and 1651

1. What is the GCF of 1646 and 1651?

Answer: GCF of 1646 and 1651 is 1.

2. What are the Factors of 1646?

Answer: Factors of 1646 are 1, 2, 823, 1646. There are 4 integers that are factors of 1646. The greatest factor of 1646 is 1646.

3. What are the Factors of 1651?

Answer: Factors of 1651 are 1, 13, 127, 1651. There are 4 integers that are factors of 1651. The greatest factor of 1651 is 1651.

4. How to Find the GCF of 1646 and 1651?

Answer:

Greatest Common Factor of 1646 and 1651 = 1

Step 1: Find the prime factorization of 1646

1646 = 2 x 823

Step 2: Find the prime factorization of 1651

1651 = 13 x 127

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 1646 and 1651 is 1