What is the Greatest Common Factor of 37821 and 37830?

Greatest common factor (GCF) of 37821 and 37830 is 3.

GCF(37821,37830) = 3

We will now calculate the prime factors of 37821 and 37830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37821 and 37830.

How to find the GCF of 37821 and 37830?

We will first find the prime factorization of 37821 and 37830. After we will calculate the factors of 37821 and 37830 and find the biggest common factor number .

Step-1: Prime Factorization of 37821

Prime factors of 37821 are 3, 7, 1801. Prime factorization of 37821 in exponential form is:

37821 = 3¹ × 7¹ × 1801¹

Step-2: Prime Factorization of 37830

Prime factors of 37830 are 2, 3, 5, 13, 97. Prime factorization of 37830 in exponential form is:

37830 = 2¹ × 3¹ × 5¹ × 13¹ × 97¹

Step-3: Factors of 37821

List of positive integer factors of 37821 that divides 37821 without a remainder.

1, 3, 7, 21, 1801, 5403, 12607

Step-4: Factors of 37830

List of positive integer factors of 37830 that divides 37821 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 97, 130, 194, 195, 291, 390, 485, 582, 970, 1261, 1455, 2522, 2910, 3783, 6305, 7566, 12610, 18915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37821 and 37830. The biggest common factor number is the GCF number.
So the greatest common factor 37821 and 37830 is 3.

Also check out the Least Common Multiple of 37821 and 37830