What is the Greatest Common Factor of 3514 and 3524?

Greatest common factor (GCF) of 3514 and 3524 is 2.

GCF(3514,3524) = 2

We will now calculate the prime factors of 3514 and 3524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3514 and 3524.

How to find the GCF of 3514 and 3524?

We will first find the prime factorization of 3514 and 3524. After we will calculate the factors of 3514 and 3524 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 3524

Prime factors of 3524 are 2, 881. Prime factorization of 3524 in exponential form is:

3524 = 2² × 881¹

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 3524

List of positive integer factors of 3524 that divides 3514 without a remainder.

1, 2, 4, 881, 1762

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3514 and 3524. The biggest common factor number is the GCF number.
So the greatest common factor 3514 and 3524 is 2.

Also check out the Least Common Multiple of 3514 and 3524