What is the Greatest Common Factor of 3641 and 3652?

Greatest common factor (GCF) of 3641 and 3652 is 11.

GCF(3641,3652) = 11

We will now calculate the prime factors of 3641 and 3652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3641 and 3652.

How to find the GCF of 3641 and 3652?

We will first find the prime factorization of 3641 and 3652. After we will calculate the factors of 3641 and 3652 and find the biggest common factor number .

Step-1: Prime Factorization of 3641

Prime factors of 3641 are 11, 331. Prime factorization of 3641 in exponential form is:

3641 = 11¹ × 331¹

Step-2: Prime Factorization of 3652

Prime factors of 3652 are 2, 11, 83. Prime factorization of 3652 in exponential form is:

3652 = 2² × 11¹ × 83¹

Step-3: Factors of 3641

List of positive integer factors of 3641 that divides 3641 without a remainder.

1, 11, 331

Step-4: Factors of 3652

List of positive integer factors of 3652 that divides 3641 without a remainder.

1, 2, 4, 11, 22, 44, 83, 166, 332, 913, 1826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3641 and 3652. The biggest common factor number is the GCF number.
So the greatest common factor 3641 and 3652 is 11.

Also check out the Least Common Multiple of 3641 and 3652