What is the Greatest Common Factor of 60144 and 60150?

Greatest common factor (GCF) of 60144 and 60150 is 6.

GCF(60144,60150) = 6

We will now calculate the prime factors of 60144 and 60150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60144 and 60150.

How to find the GCF of 60144 and 60150?

We will first find the prime factorization of 60144 and 60150. After we will calculate the factors of 60144 and 60150 and find the biggest common factor number .

Step-1: Prime Factorization of 60144

Prime factors of 60144 are 2, 3, 7, 179. Prime factorization of 60144 in exponential form is:

60144 = 2⁴ × 3¹ × 7¹ × 179¹

Step-2: Prime Factorization of 60150

Prime factors of 60150 are 2, 3, 5, 401. Prime factorization of 60150 in exponential form is:

60150 = 2¹ × 3¹ × 5² × 401¹

Step-3: Factors of 60144

List of positive integer factors of 60144 that divides 60144 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 179, 336, 358, 537, 716, 1074, 1253, 1432, 2148, 2506, 2864, 3759, 4296, 5012, 7518, 8592, 10024, 15036, 20048, 30072

Step-4: Factors of 60150

List of positive integer factors of 60150 that divides 60144 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 401, 802, 1203, 2005, 2406, 4010, 6015, 10025, 12030, 20050, 30075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60144 and 60150. The biggest common factor number is the GCF number.
So the greatest common factor 60144 and 60150 is 6.

Also check out the Least Common Multiple of 60144 and 60150