What is the Greatest Common Factor of 36030 and 36050?

Greatest common factor (GCF) of 36030 and 36050 is 10.

GCF(36030,36050) = 10

We will now calculate the prime factors of 36030 and 36050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36030 and 36050.

How to find the GCF of 36030 and 36050?

We will first find the prime factorization of 36030 and 36050. After we will calculate the factors of 36030 and 36050 and find the biggest common factor number .

Step-1: Prime Factorization of 36030

Prime factors of 36030 are 2, 3, 5, 1201. Prime factorization of 36030 in exponential form is:

36030 = 2¹ × 3¹ × 5¹ × 1201¹

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 36030

List of positive integer factors of 36030 that divides 36030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1201, 2402, 3603, 6005, 7206, 12010, 18015

Step-4: Factors of 36050

List of positive integer factors of 36050 that divides 36030 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 36030 and 36050. The biggest common factor number is the GCF number.
So the greatest common factor 36030 and 36050 is 10.

Also check out the Least Common Multiple of 36030 and 36050