What is the Greatest Common Factor of 37722 and 37733?

Greatest common factor (GCF) of 37722 and 37733 is 1.

GCF(37722,37733) = 1

We will now calculate the prime factors of 37722 and 37733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37722 and 37733.

How to find the GCF of 37722 and 37733?

We will first find the prime factorization of 37722 and 37733. After we will calculate the factors of 37722 and 37733 and find the biggest common factor number .

Step-1: Prime Factorization of 37722

Prime factors of 37722 are 2, 3, 6287. Prime factorization of 37722 in exponential form is:

37722 = 2¹ × 3¹ × 6287¹

Step-2: Prime Factorization of 37733

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

37733 = 97¹ × 389¹

Step-3: Factors of 37722

List of positive integer factors of 37722 that divides 37722 without a remainder.

1, 2, 3, 6, 6287, 12574, 18861

Step-4: Factors of 37733

List of positive integer factors of 37733 that divides 37722 without a remainder.

1, 97, 389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37722 and 37733. The biggest common factor number is the GCF number.
So the greatest common factor 37722 and 37733 is 1.

Also check out the Least Common Multiple of 37722 and 37733