What is the Greatest Common Factor of 36045 and 36050?

Greatest common factor (GCF) of 36045 and 36050 is 5.

GCF(36045,36050) = 5

We will now calculate the prime factors of 36045 and 36050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36045 and 36050.

How to find the GCF of 36045 and 36050?

We will first find the prime factorization of 36045 and 36050. After we will calculate the factors of 36045 and 36050 and find the biggest common factor number .

Step-1: Prime Factorization of 36045

Prime factors of 36045 are 3, 5, 89. Prime factorization of 36045 in exponential form is:

36045 = 3⁴ × 5¹ × 89¹

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 36045

List of positive integer factors of 36045 that divides 36045 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 89, 135, 267, 405, 445, 801, 1335, 2403, 4005, 7209, 12015

Step-4: Factors of 36050

List of positive integer factors of 36050 that divides 36045 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 36045 and 36050. The biggest common factor number is the GCF number.
So the greatest common factor 36045 and 36050 is 5.

Also check out the Least Common Multiple of 36045 and 36050