What is the Greatest Common Factor of 36112 and 36126?

Greatest common factor (GCF) of 36112 and 36126 is 2.

GCF(36112,36126) = 2

We will now calculate the prime factors of 36112 and 36126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36112 and 36126.

How to find the GCF of 36112 and 36126?

We will first find the prime factorization of 36112 and 36126. After we will calculate the factors of 36112 and 36126 and find the biggest common factor number .

Step-1: Prime Factorization of 36112

Prime factors of 36112 are 2, 37, 61. Prime factorization of 36112 in exponential form is:

36112 = 2⁴ × 37¹ × 61¹

Step-2: Prime Factorization of 36126

Prime factors of 36126 are 2, 3, 223. Prime factorization of 36126 in exponential form is:

36126 = 2¹ × 3⁴ × 223¹

Step-3: Factors of 36112

List of positive integer factors of 36112 that divides 36112 without a remainder.

1, 2, 4, 8, 16, 37, 61, 74, 122, 148, 244, 296, 488, 592, 976, 2257, 4514, 9028, 18056

Step-4: Factors of 36126

List of positive integer factors of 36126 that divides 36112 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 223, 446, 669, 1338, 2007, 4014, 6021, 12042, 18063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36112 and 36126. The biggest common factor number is the GCF number.
So the greatest common factor 36112 and 36126 is 2.

Also check out the Least Common Multiple of 36112 and 36126