What is the Greatest Common Factor of 37719 and 37730?

Greatest common factor (GCF) of 37719 and 37730 is 11.

GCF(37719,37730) = 11

We will now calculate the prime factors of 37719 and 37730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37719 and 37730.

How to find the GCF of 37719 and 37730?

We will first find the prime factorization of 37719 and 37730. After we will calculate the factors of 37719 and 37730 and find the biggest common factor number .

Step-1: Prime Factorization of 37719

Prime factors of 37719 are 3, 11, 127. Prime factorization of 37719 in exponential form is:

37719 = 3³ × 11¹ × 127¹

Step-2: Prime Factorization of 37730

Prime factors of 37730 are 2, 5, 7, 11. Prime factorization of 37730 in exponential form is:

37730 = 2¹ × 5¹ × 7³ × 11¹

Step-3: Factors of 37719

List of positive integer factors of 37719 that divides 37719 without a remainder.

1, 3, 9, 11, 27, 33, 99, 127, 297, 381, 1143, 1397, 3429, 4191, 12573

Step-4: Factors of 37730

List of positive integer factors of 37730 that divides 37719 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 154, 245, 343, 385, 490, 539, 686, 770, 1078, 1715, 2695, 3430, 3773, 5390, 7546, 18865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37719 and 37730. The biggest common factor number is the GCF number.
So the greatest common factor 37719 and 37730 is 11.

Also check out the Least Common Multiple of 37719 and 37730