What is the Greatest Common Factor of 60096 and 60103?

Greatest common factor (GCF) of 60096 and 60103 is 1.

GCF(60096,60103) = 1

We will now calculate the prime factors of 60096 and 60103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60096 and 60103.

How to find the GCF of 60096 and 60103?

We will first find the prime factorization of 60096 and 60103. After we will calculate the factors of 60096 and 60103 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 60103

Prime factors of 60103 are 60103. Prime factorization of 60103 in exponential form is:

60103 = 60103¹

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 60103

List of positive integer factors of 60103 that divides 60096 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60096 and 60103. The biggest common factor number is the GCF number.
So the greatest common factor 60096 and 60103 is 1.

Also check out the Least Common Multiple of 60096 and 60103