What is the Greatest Common Factor of 36036 and 36052?

Greatest common factor (GCF) of 36036 and 36052 is 4.

GCF(36036,36052) = 4

We will now calculate the prime factors of 36036 and 36052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36036 and 36052.

How to find the GCF of 36036 and 36052?

We will first find the prime factorization of 36036 and 36052. After we will calculate the factors of 36036 and 36052 and find the biggest common factor number .

Step-1: Prime Factorization of 36036

Prime factors of 36036 are 2, 3, 7, 11, 13. Prime factorization of 36036 in exponential form is:

36036 = 2² × 3² × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 36052

Prime factors of 36052 are 2, 9013. Prime factorization of 36052 in exponential form is:

36052 = 2² × 9013¹

Step-3: Factors of 36036

List of positive integer factors of 36036 that divides 36036 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 13, 14, 18, 21, 22, 26, 28, 33, 36, 39, 42, 44, 52, 63, 66, 77, 78, 84, 91, 99, 117, 126, 132, 143, 154, 156, 182, 198, 231, 234, 252, 273, 286, 308, 364, 396, 429, 462, 468, 546, 572, 693, 819, 858, 924, 1001, 1092, 1287, 1386, 1638, 1716, 2002, 2574, 2772, 3003, 3276, 4004, 5148, 6006, 9009, 12012, 18018

Step-4: Factors of 36052

List of positive integer factors of 36052 that divides 36036 without a remainder.

1, 2, 4, 9013, 18026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36036 and 36052. The biggest common factor number is the GCF number.
So the greatest common factor 36036 and 36052 is 4.

Also check out the Least Common Multiple of 36036 and 36052