What is the Greatest Common Factor of 37856 and 37869?

Greatest common factor (GCF) of 37856 and 37869 is 13.

GCF(37856,37869) = 13

We will now calculate the prime factors of 37856 and 37869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37856 and 37869.

How to find the GCF of 37856 and 37869?

We will first find the prime factorization of 37856 and 37869. After we will calculate the factors of 37856 and 37869 and find the biggest common factor number .

Step-1: Prime Factorization of 37856

Prime factors of 37856 are 2, 7, 13. Prime factorization of 37856 in exponential form is:

37856 = 2⁵ × 7¹ × 13²

Step-2: Prime Factorization of 37869

Prime factors of 37869 are 3, 13, 971. Prime factorization of 37869 in exponential form is:

37869 = 3¹ × 13¹ × 971¹

Step-3: Factors of 37856

List of positive integer factors of 37856 that divides 37856 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 169, 182, 208, 224, 338, 364, 416, 676, 728, 1183, 1352, 1456, 2366, 2704, 2912, 4732, 5408, 9464, 18928

Step-4: Factors of 37869

List of positive integer factors of 37869 that divides 37856 without a remainder.

1, 3, 13, 39, 971, 2913, 12623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37856 and 37869. The biggest common factor number is the GCF number.
So the greatest common factor 37856 and 37869 is 13.

Also check out the Least Common Multiple of 37856 and 37869