What is the Greatest Common Factor of 3514 and 3529?

Greatest common factor (GCF) of 3514 and 3529 is 1.

GCF(3514,3529) = 1

We will now calculate the prime factors of 3514 and 3529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3514 and 3529.

How to find the GCF of 3514 and 3529?

We will first find the prime factorization of 3514 and 3529. After we will calculate the factors of 3514 and 3529 and find the biggest common factor number .

Step-1: Prime Factorization of 3514

Prime factors of 3514 are 2, 7, 251. Prime factorization of 3514 in exponential form is:

3514 = 2¹ × 7¹ × 251¹

Step-2: Prime Factorization of 3529

Prime factors of 3529 are 3529. Prime factorization of 3529 in exponential form is:

3529 = 3529¹

Step-3: Factors of 3514

List of positive integer factors of 3514 that divides 3514 without a remainder.

1, 2, 7, 14, 251, 502, 1757

Step-4: Factors of 3529

List of positive integer factors of 3529 that divides 3514 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3514 and 3529. The biggest common factor number is the GCF number.
So the greatest common factor 3514 and 3529 is 1.

Also check out the Least Common Multiple of 3514 and 3529