What is the Greatest Common Factor of 37332 and 37349?

Greatest common factor (GCF) of 37332 and 37349 is 17.

GCF(37332,37349) = 17

We will now calculate the prime factors of 37332 and 37349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37332 and 37349.

How to find the GCF of 37332 and 37349?

We will first find the prime factorization of 37332 and 37349. After we will calculate the factors of 37332 and 37349 and find the biggest common factor number .

Step-1: Prime Factorization of 37332

Prime factors of 37332 are 2, 3, 17, 61. Prime factorization of 37332 in exponential form is:

37332 = 2² × 3² × 17¹ × 61¹

Step-2: Prime Factorization of 37349

Prime factors of 37349 are 13, 17. Prime factorization of 37349 in exponential form is:

37349 = 13³ × 17¹

Step-3: Factors of 37332

List of positive integer factors of 37332 that divides 37332 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 61, 68, 102, 122, 153, 183, 204, 244, 306, 366, 549, 612, 732, 1037, 1098, 2074, 2196, 3111, 4148, 6222, 9333, 12444, 18666

Step-4: Factors of 37349

List of positive integer factors of 37349 that divides 37332 without a remainder.

1, 13, 17, 169, 221, 2197, 2873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37332 and 37349. The biggest common factor number is the GCF number.
So the greatest common factor 37332 and 37349 is 17.

Also check out the Least Common Multiple of 37332 and 37349