What is the Greatest Common Factor of 36024 and 36038?

Greatest common factor (GCF) of 36024 and 36038 is 2.

GCF(36024,36038) = 2

We will now calculate the prime factors of 36024 and 36038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36024 and 36038.

How to find the GCF of 36024 and 36038?

We will first find the prime factorization of 36024 and 36038. After we will calculate the factors of 36024 and 36038 and find the biggest common factor number .

Step-1: Prime Factorization of 36024

Prime factors of 36024 are 2, 3, 19, 79. Prime factorization of 36024 in exponential form is:

36024 = 2³ × 3¹ × 19¹ × 79¹

Step-2: Prime Factorization of 36038

Prime factors of 36038 are 2, 37, 487. Prime factorization of 36038 in exponential form is:

36038 = 2¹ × 37¹ × 487¹

Step-3: Factors of 36024

List of positive integer factors of 36024 that divides 36024 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 79, 114, 152, 158, 228, 237, 316, 456, 474, 632, 948, 1501, 1896, 3002, 4503, 6004, 9006, 12008, 18012

Step-4: Factors of 36038

List of positive integer factors of 36038 that divides 36024 without a remainder.

1, 2, 37, 74, 487, 974, 18019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36024 and 36038. The biggest common factor number is the GCF number.
So the greatest common factor 36024 and 36038 is 2.

Also check out the Least Common Multiple of 36024 and 36038