What is the Greatest Common Factor of 72150 and 72161?

Greatest common factor (GCF) of 72150 and 72161 is 1.

GCF(72150,72161) = 1

We will now calculate the prime factors of 72150 and 72161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72150 and 72161.

How to find the GCF of 72150 and 72161?

We will first find the prime factorization of 72150 and 72161. After we will calculate the factors of 72150 and 72161 and find the biggest common factor number .

Step-1: Prime Factorization of 72150

Prime factors of 72150 are 2, 3, 5, 13, 37. Prime factorization of 72150 in exponential form is:

72150 = 2¹ × 3¹ × 5² × 13¹ × 37¹

Step-2: Prime Factorization of 72161

Prime factors of 72161 are 72161. Prime factorization of 72161 in exponential form is:

72161 = 72161¹

Step-3: Factors of 72150

List of positive integer factors of 72150 that divides 72150 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 37, 39, 50, 65, 74, 75, 78, 111, 130, 150, 185, 195, 222, 325, 370, 390, 481, 555, 650, 925, 962, 975, 1110, 1443, 1850, 1950, 2405, 2775, 2886, 4810, 5550, 7215, 12025, 14430, 24050, 36075

Step-4: Factors of 72161

List of positive integer factors of 72161 that divides 72150 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72150 and 72161. The biggest common factor number is the GCF number.
So the greatest common factor 72150 and 72161 is 1.

Also check out the Least Common Multiple of 72150 and 72161