What is the Greatest Common Factor of 36141 and 36150?

Greatest common factor (GCF) of 36141 and 36150 is 3.

GCF(36141,36150) = 3

We will now calculate the prime factors of 36141 and 36150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36141 and 36150.

How to find the GCF of 36141 and 36150?

We will first find the prime factorization of 36141 and 36150. After we will calculate the factors of 36141 and 36150 and find the biggest common factor number .

Step-1: Prime Factorization of 36141

Prime factors of 36141 are 3, 7, 1721. Prime factorization of 36141 in exponential form is:

36141 = 3¹ × 7¹ × 1721¹

Step-2: Prime Factorization of 36150

Prime factors of 36150 are 2, 3, 5, 241. Prime factorization of 36150 in exponential form is:

36150 = 2¹ × 3¹ × 5² × 241¹

Step-3: Factors of 36141

List of positive integer factors of 36141 that divides 36141 without a remainder.

1, 3, 7, 21, 1721, 5163, 12047

Step-4: Factors of 36150

List of positive integer factors of 36150 that divides 36141 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 241, 482, 723, 1205, 1446, 2410, 3615, 6025, 7230, 12050, 18075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36141 and 36150. The biggest common factor number is the GCF number.
So the greatest common factor 36141 and 36150 is 3.

Also check out the Least Common Multiple of 36141 and 36150