What is the Greatest Common Factor of 37834 and 37848?

Greatest common factor (GCF) of 37834 and 37848 is 2.

GCF(37834,37848) = 2

We will now calculate the prime factors of 37834 and 37848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37834 and 37848.

How to find the GCF of 37834 and 37848?

We will first find the prime factorization of 37834 and 37848. After we will calculate the factors of 37834 and 37848 and find the biggest common factor number .

Step-1: Prime Factorization of 37834

Prime factors of 37834 are 2, 18917. Prime factorization of 37834 in exponential form is:

37834 = 2¹ × 18917¹

Step-2: 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-3: Factors of 37834

List of positive integer factors of 37834 that divides 37834 without a remainder.

1, 2, 18917

Step-4: Factors of 37848

List of positive integer factors of 37848 that divides 37834 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37834 and 37848. The biggest common factor number is the GCF number.
So the greatest common factor 37834 and 37848 is 2.

Also check out the Least Common Multiple of 37834 and 37848