What is the Greatest Common Factor of 36037 and 36050?

Greatest common factor (GCF) of 36037 and 36050 is 1.

GCF(36037,36050) = 1

We will now calculate the prime factors of 36037 and 36050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36037 and 36050.

How to find the GCF of 36037 and 36050?

We will first find the prime factorization of 36037 and 36050. After we will calculate the factors of 36037 and 36050 and find the biggest common factor number .

Step-1: Prime Factorization of 36037

Prime factors of 36037 are 36037. Prime factorization of 36037 in exponential form is:

36037 = 36037¹

Step-2: Prime Factorization of 36050

Prime factors of 36050 are 2, 5, 7, 103. Prime factorization of 36050 in exponential form is:

36050 = 2¹ × 5² × 7¹ × 103¹

Step-3: Factors of 36037

List of positive integer factors of 36037 that divides 36037 without a remainder.

Step-4: Factors of 36050

List of positive integer factors of 36050 that divides 36037 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 103, 175, 206, 350, 515, 721, 1030, 1442, 2575, 3605, 5150, 7210, 18025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36037 and 36050. The biggest common factor number is the GCF number.
So the greatest common factor 36037 and 36050 is 1.

Also check out the Least Common Multiple of 36037 and 36050