What is the Greatest Common Factor of 36112 and 36123?

Greatest common factor (GCF) of 36112 and 36123 is 1.

GCF(36112,36123) = 1

We will now calculate the prime factors of 36112 and 36123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36112 and 36123.

How to find the GCF of 36112 and 36123?

We will first find the prime factorization of 36112 and 36123. After we will calculate the factors of 36112 and 36123 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 36123

Prime factors of 36123 are 3, 12041. Prime factorization of 36123 in exponential form is:

36123 = 3¹ × 12041¹

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 36123

List of positive integer factors of 36123 that divides 36112 without a remainder.

1, 3, 12041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36112 and 36123. The biggest common factor number is the GCF number.
So the greatest common factor 36112 and 36123 is 1.

Also check out the Least Common Multiple of 36112 and 36123