What is the Greatest Common Factor of 36832 and 36848?

Greatest common factor (GCF) of 36832 and 36848 is 16.

GCF(36832,36848) = 16

We will now calculate the prime factors of 36832 and 36848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36832 and 36848.

How to find the GCF of 36832 and 36848?

We will first find the prime factorization of 36832 and 36848. After we will calculate the factors of 36832 and 36848 and find the biggest common factor number .

Step-1: Prime Factorization of 36832

Prime factors of 36832 are 2, 1151. Prime factorization of 36832 in exponential form is:

36832 = 2⁵ × 1151¹

Step-2: Prime Factorization of 36848

Prime factors of 36848 are 2, 7, 47. Prime factorization of 36848 in exponential form is:

36848 = 2⁴ × 7² × 47¹

Step-3: Factors of 36832

List of positive integer factors of 36832 that divides 36832 without a remainder.

1, 2, 4, 8, 16, 32, 1151, 2302, 4604, 9208, 18416

Step-4: Factors of 36848

List of positive integer factors of 36848 that divides 36832 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 47, 49, 56, 94, 98, 112, 188, 196, 329, 376, 392, 658, 752, 784, 1316, 2303, 2632, 4606, 5264, 9212, 18424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36832 and 36848. The biggest common factor number is the GCF number.
So the greatest common factor 36832 and 36848 is 16.

Also check out the Least Common Multiple of 36832 and 36848