What is the Greatest Common Factor of 36036 and 36049?

Greatest common factor (GCF) of 36036 and 36049 is 13.

GCF(36036,36049) = 13

We will now calculate the prime factors of 36036 and 36049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36036 and 36049.

How to find the GCF of 36036 and 36049?

We will first find the prime factorization of 36036 and 36049. After we will calculate the factors of 36036 and 36049 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 36049

Prime factors of 36049 are 13, 47, 59. Prime factorization of 36049 in exponential form is:

36049 = 13¹ × 47¹ × 59¹

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 36049

List of positive integer factors of 36049 that divides 36036 without a remainder.

1, 13, 47, 59, 611, 767, 2773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36036 and 36049. The biggest common factor number is the GCF number.
So the greatest common factor 36036 and 36049 is 13.

Also check out the Least Common Multiple of 36036 and 36049