What is the Greatest Common Factor of 36025 and 36036?

Greatest common factor (GCF) of 36025 and 36036 is 11.

GCF(36025,36036) = 11

We will now calculate the prime factors of 36025 and 36036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36025 and 36036.

How to find the GCF of 36025 and 36036?

We will first find the prime factorization of 36025 and 36036. After we will calculate the factors of 36025 and 36036 and find the biggest common factor number .

Step-1: Prime Factorization of 36025

Prime factors of 36025 are 5, 11, 131. Prime factorization of 36025 in exponential form is:

36025 = 5² × 11¹ × 131¹

Step-2: 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-3: Factors of 36025

List of positive integer factors of 36025 that divides 36025 without a remainder.

1, 5, 11, 25, 55, 131, 275, 655, 1441, 3275, 7205

Step-4: Factors of 36036

List of positive integer factors of 36036 that divides 36025 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36025 and 36036. The biggest common factor number is the GCF number.
So the greatest common factor 36025 and 36036 is 11.

Also check out the Least Common Multiple of 36025 and 36036