Greatest Common Factor of 3512 and 3513

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 3512, 3513 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3512 and 3513 is 1.

GCF(3512,3513) = 1

GCF of 3512 and 3513

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

GCF of:
and

Greatest Common Factor of 3512 and 3513

GCF of 3512 and 3513 is 1

Prime Factorization of 3512


2 3512
2 1756
2 878
439 439
1

Prime factors of 3512 are 2,439. Prime factorization of 3512 in exponential form is:

3512 = 23×4391

Prime Factorization of 3513


3 3513
1171 1171
1

Prime factors of 3513 are 3,1171. Prime factorization of 3513 in exponential form is:

3513 = 31×11711

∴ So by taking common prime factors GCF of 3512 and 3513 is 1

Greatest Common Factor of 3512 and 3513 by matching factors method

Factors of 3512

List of positive integer factors of 3512 that divides 3512 without a remainder.

1,2,4,8,439,878,1756,3512

Factors of 3513

List of positive integer factors of 3513 that divides 3513 without a remainder.

1,3,1171,3513

Greatest Common Factor

We found the factors and prime factorization of 3512 and 3513. The biggest common factor number is the GCF number.
So the greatest common factor 3512 and 3513 is 1.

Also check out the Least Common Multiple of 3512 and 3513

Properties of GCF 3512 and 3513

(i) The GCF of 3512 and 3513 is associative

GCF of 3512 and 3513 = GCF of 3513 and 3512

Frequently Asked Questions on GCF of 3512 and 3513

1. What is the GCF of 3512 and 3513?

Answer: GCF of 3512 and 3513 is 1.

2. What are the Factors of 3512?

Answer: Factors of 3512 are 1, 2, 4, 8, 439, 878, 1756, 3512. There are 8 integers that are factors of 3512. The greatest factor of 3512 is 3512.

3. What are the Factors of 3513?

Answer: Factors of 3513 are 1, 3, 1171, 3513. There are 4 integers that are factors of 3513. The greatest factor of 3513 is 3513.

4. How to Find the GCF of 3512 and 3513?

Answer:

Greatest Common Factor of 3512 and 3513 = 1

Step 1: Find the prime factorization of 3512

3512 = 2 x 2 x 2 x 439

Step 2: Find the prime factorization of 3513

3513 = 3 x 1171

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 3512 and 3513 is 1