What is the Greatest Common Factor of 37797 and 37802?

Greatest common factor (GCF) of 37797 and 37802 is 1.

GCF(37797,37802) = 1

We will now calculate the prime factors of 37797 and 37802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37797 and 37802.

How to find the GCF of 37797 and 37802?

We will first find the prime factorization of 37797 and 37802. After we will calculate the factors of 37797 and 37802 and find the biggest common factor number .

Step-1: Prime Factorization of 37797

Prime factors of 37797 are 3, 43, 293. Prime factorization of 37797 in exponential form is:

37797 = 3¹ × 43¹ × 293¹

Step-2: Prime Factorization of 37802

Prime factors of 37802 are 2, 41, 461. Prime factorization of 37802 in exponential form is:

37802 = 2¹ × 41¹ × 461¹

Step-3: Factors of 37797

List of positive integer factors of 37797 that divides 37797 without a remainder.

1, 3, 43, 129, 293, 879, 12599

Step-4: Factors of 37802

List of positive integer factors of 37802 that divides 37797 without a remainder.

1, 2, 41, 82, 461, 922, 18901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37797 and 37802. The biggest common factor number is the GCF number.
So the greatest common factor 37797 and 37802 is 1.

Also check out the Least Common Multiple of 37797 and 37802