What is the Greatest Common Factor of 37733 and 37752?

Greatest common factor (GCF) of 37733 and 37752 is 1.

GCF(37733,37752) = 1

We will now calculate the prime factors of 37733 and 37752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37733 and 37752.

How to find the GCF of 37733 and 37752?

We will first find the prime factorization of 37733 and 37752. After we will calculate the factors of 37733 and 37752 and find the biggest common factor number .

Step-1: Prime Factorization of 37733

Prime factors of 37733 are 97, 389. Prime factorization of 37733 in exponential form is:

37733 = 97¹ × 389¹

Step-2: Prime Factorization of 37752

Prime factors of 37752 are 2, 3, 11, 13. Prime factorization of 37752 in exponential form is:

37752 = 2³ × 3¹ × 11² × 13¹

Step-3: Factors of 37733

List of positive integer factors of 37733 that divides 37733 without a remainder.

1, 97, 389

Step-4: Factors of 37752

List of positive integer factors of 37752 that divides 37733 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 121, 132, 143, 156, 242, 264, 286, 312, 363, 429, 484, 572, 726, 858, 968, 1144, 1452, 1573, 1716, 2904, 3146, 3432, 4719, 6292, 9438, 12584, 18876

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37733 and 37752. The biggest common factor number is the GCF number.
So the greatest common factor 37733 and 37752 is 1.

Also check out the Least Common Multiple of 37733 and 37752