What is the Greatest Common Factor of 37848 and 37857?

Greatest common factor (GCF) of 37848 and 37857 is 3.

GCF(37848,37857) = 3

We will now calculate the prime factors of 37848 and 37857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37848 and 37857.

How to find the GCF of 37848 and 37857?

We will first find the prime factorization of 37848 and 37857. After we will calculate the factors of 37848 and 37857 and find the biggest common factor number .

Step-1: Prime Factorization of 37848

Prime factors of 37848 are 2, 3, 19, 83. Prime factorization of 37848 in exponential form is:

37848 = 2³ × 3¹ × 19¹ × 83¹

Step-2: Prime Factorization of 37857

Prime factors of 37857 are 3, 12619. Prime factorization of 37857 in exponential form is:

37857 = 3¹ × 12619¹

Step-3: Factors of 37848

List of positive integer factors of 37848 that divides 37848 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 83, 114, 152, 166, 228, 249, 332, 456, 498, 664, 996, 1577, 1992, 3154, 4731, 6308, 9462, 12616, 18924

Step-4: Factors of 37857

List of positive integer factors of 37857 that divides 37848 without a remainder.

1, 3, 12619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37848 and 37857. The biggest common factor number is the GCF number.
So the greatest common factor 37848 and 37857 is 3.

Also check out the Least Common Multiple of 37848 and 37857