What is the Greatest Common Factor of 3562 and 3575?

Greatest common factor (GCF) of 3562 and 3575 is 13.

GCF(3562,3575) = 13

We will now calculate the prime factors of 3562 and 3575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3562 and 3575.

How to find the GCF of 3562 and 3575?

We will first find the prime factorization of 3562 and 3575. After we will calculate the factors of 3562 and 3575 and find the biggest common factor number .

Step-1: Prime Factorization of 3562

Prime factors of 3562 are 2, 13, 137. Prime factorization of 3562 in exponential form is:

3562 = 2¹ × 13¹ × 137¹

Step-2: Prime Factorization of 3575

Prime factors of 3575 are 5, 11, 13. Prime factorization of 3575 in exponential form is:

3575 = 5² × 11¹ × 13¹

Step-3: Factors of 3562

List of positive integer factors of 3562 that divides 3562 without a remainder.

1, 2, 13, 26, 137, 274, 1781

Step-4: Factors of 3575

List of positive integer factors of 3575 that divides 3562 without a remainder.

1, 5, 11, 13, 25, 55, 65, 143, 275, 325, 715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3562 and 3575. The biggest common factor number is the GCF number.
So the greatest common factor 3562 and 3575 is 13.

Also check out the Least Common Multiple of 3562 and 3575