What is the Greatest Common Factor of 36848 and 36862?

Greatest common factor (GCF) of 36848 and 36862 is 14.

GCF(36848,36862) = 14

We will now calculate the prime factors of 36848 and 36862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36848 and 36862.

How to find the GCF of 36848 and 36862?

We will first find the prime factorization of 36848 and 36862. After we will calculate the factors of 36848 and 36862 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36862

Prime factors of 36862 are 2, 7, 2633. Prime factorization of 36862 in exponential form is:

36862 = 2¹ × 7¹ × 2633¹

Step-3: Factors of 36848

List of positive integer factors of 36848 that divides 36848 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

Step-4: Factors of 36862

List of positive integer factors of 36862 that divides 36848 without a remainder.

1, 2, 7, 14, 2633, 5266, 18431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36848 and 36862. The biggest common factor number is the GCF number.
So the greatest common factor 36848 and 36862 is 14.

Also check out the Least Common Multiple of 36848 and 36862