What is the Greatest Common Factor of 37722 and 37729?

Greatest common factor (GCF) of 37722 and 37729 is 1.

GCF(37722,37729) = 1

We will now calculate the prime factors of 37722 and 37729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37722 and 37729.

How to find the GCF of 37722 and 37729?

We will first find the prime factorization of 37722 and 37729. After we will calculate the factors of 37722 and 37729 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 37729

Prime factors of 37729 are 29, 1301. Prime factorization of 37729 in exponential form is:

37729 = 29¹ × 1301¹

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 37729

List of positive integer factors of 37729 that divides 37722 without a remainder.

1, 29, 1301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37722 and 37729. The biggest common factor number is the GCF number.
So the greatest common factor 37722 and 37729 is 1.

Also check out the Least Common Multiple of 37722 and 37729