What is the Greatest Common Factor of 60096 and 60105?

Greatest common factor (GCF) of 60096 and 60105 is 3.

GCF(60096,60105) = 3

We will now calculate the prime factors of 60096 and 60105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60096 and 60105.

How to find the GCF of 60096 and 60105?

We will first find the prime factorization of 60096 and 60105. After we will calculate the factors of 60096 and 60105 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 60105

Prime factors of 60105 are 3, 5, 4007. Prime factorization of 60105 in exponential form is:

60105 = 3¹ × 5¹ × 4007¹

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 60105

List of positive integer factors of 60105 that divides 60096 without a remainder.

1, 3, 5, 15, 4007, 12021, 20035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60096 and 60105. The biggest common factor number is the GCF number.
So the greatest common factor 60096 and 60105 is 3.

Also check out the Least Common Multiple of 60096 and 60105