What is the Greatest Common Factor of 72132 and 72150?

Greatest common factor (GCF) of 72132 and 72150 is 6.

GCF(72132,72150) = 6

We will now calculate the prime factors of 72132 and 72150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72132 and 72150.

How to find the GCF of 72132 and 72150?

We will first find the prime factorization of 72132 and 72150. After we will calculate the factors of 72132 and 72150 and find the biggest common factor number .

Step-1: Prime Factorization of 72132

Prime factors of 72132 are 2, 3, 6011. Prime factorization of 72132 in exponential form is:

72132 = 2² × 3¹ × 6011¹

Step-2: 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-3: Factors of 72132

List of positive integer factors of 72132 that divides 72132 without a remainder.

1, 2, 3, 4, 6, 12, 6011, 12022, 18033, 24044, 36066

Step-4: Factors of 72150

List of positive integer factors of 72150 that divides 72132 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72132 and 72150. The biggest common factor number is the GCF number.
So the greatest common factor 72132 and 72150 is 6.

Also check out the Least Common Multiple of 72132 and 72150