What is the Greatest Common Factor of 36252 and 36271?

Greatest common factor (GCF) of 36252 and 36271 is 19.

GCF(36252,36271) = 19

We will now calculate the prime factors of 36252 and 36271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36252 and 36271.

How to find the GCF of 36252 and 36271?

We will first find the prime factorization of 36252 and 36271. After we will calculate the factors of 36252 and 36271 and find the biggest common factor number .

Step-1: Prime Factorization of 36252

Prime factors of 36252 are 2, 3, 19, 53. Prime factorization of 36252 in exponential form is:

36252 = 2² × 3² × 19¹ × 53¹

Step-2: Prime Factorization of 36271

Prime factors of 36271 are 19, 23, 83. Prime factorization of 36271 in exponential form is:

36271 = 19¹ × 23¹ × 83¹

Step-3: Factors of 36252

List of positive integer factors of 36252 that divides 36252 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 53, 57, 76, 106, 114, 159, 171, 212, 228, 318, 342, 477, 636, 684, 954, 1007, 1908, 2014, 3021, 4028, 6042, 9063, 12084, 18126

Step-4: Factors of 36271

List of positive integer factors of 36271 that divides 36252 without a remainder.

1, 19, 23, 83, 437, 1577, 1909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36252 and 36271. The biggest common factor number is the GCF number.
So the greatest common factor 36252 and 36271 is 19.

Also check out the Least Common Multiple of 36252 and 36271