What is the Greatest Common Factor of 60096 and 60100?

Greatest common factor (GCF) of 60096 and 60100 is 4.

GCF(60096,60100) = 4

We will now calculate the prime factors of 60096 and 60100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60096 and 60100.

How to find the GCF of 60096 and 60100?

We will first find the prime factorization of 60096 and 60100. After we will calculate the factors of 60096 and 60100 and find the biggest common factor number .

Step-1: Prime Factorization of 60096

Prime factors of 60096 are 2, 3, 313. Prime factorization of 60096 in exponential form is:

60096 = 2⁶ × 3¹ × 313¹

Step-2: Prime Factorization of 60100

Prime factors of 60100 are 2, 5, 601. Prime factorization of 60100 in exponential form is:

60100 = 2² × 5² × 601¹

Step-3: Factors of 60096

List of positive integer factors of 60096 that divides 60096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 313, 626, 939, 1252, 1878, 2504, 3756, 5008, 7512, 10016, 15024, 20032, 30048

Step-4: Factors of 60100

List of positive integer factors of 60100 that divides 60096 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 601, 1202, 2404, 3005, 6010, 12020, 15025, 30050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60096 and 60100. The biggest common factor number is the GCF number.
So the greatest common factor 60096 and 60100 is 4.

Also check out the Least Common Multiple of 60096 and 60100