What is the Greatest Common Factor of 36252 and 36256?

Greatest common factor (GCF) of 36252 and 36256 is 4.

GCF(36252,36256) = 4

We will now calculate the prime factors of 36252 and 36256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36252 and 36256.

How to find the GCF of 36252 and 36256?

We will first find the prime factorization of 36252 and 36256. After we will calculate the factors of 36252 and 36256 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 36256

Prime factors of 36256 are 2, 11, 103. Prime factorization of 36256 in exponential form is:

36256 = 2⁵ × 11¹ × 103¹

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 36256

List of positive integer factors of 36256 that divides 36252 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 103, 176, 206, 352, 412, 824, 1133, 1648, 2266, 3296, 4532, 9064, 18128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36252 and 36256. The biggest common factor number is the GCF number.
So the greatest common factor 36252 and 36256 is 4.

Also check out the Least Common Multiple of 36252 and 36256