What is the Greatest Common Factor of 60096 and 60112?

Greatest common factor (GCF) of 60096 and 60112 is 16.

GCF(60096,60112) = 16

We will now calculate the prime factors of 60096 and 60112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60096 and 60112.

How to find the GCF of 60096 and 60112?

We will first find the prime factorization of 60096 and 60112. After we will calculate the factors of 60096 and 60112 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 60112

Prime factors of 60112 are 2, 13, 17. Prime factorization of 60112 in exponential form is:

60112 = 2⁴ × 13¹ × 17²

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 60112

List of positive integer factors of 60112 that divides 60096 without a remainder.

1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 289, 442, 578, 884, 1156, 1768, 2312, 3536, 3757, 4624, 7514, 15028, 30056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60096 and 60112. The biggest common factor number is the GCF number.
So the greatest common factor 60096 and 60112 is 16.

Also check out the Least Common Multiple of 60096 and 60112