What is the Greatest Common Factor of 60032 and 60048?

Greatest common factor (GCF) of 60032 and 60048 is 16.

GCF(60032,60048) = 16

We will now calculate the prime factors of 60032 and 60048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60032 and 60048.

How to find the GCF of 60032 and 60048?

We will first find the prime factorization of 60032 and 60048. After we will calculate the factors of 60032 and 60048 and find the biggest common factor number .

Step-1: Prime Factorization of 60032

Prime factors of 60032 are 2, 7, 67. Prime factorization of 60032 in exponential form is:

60032 = 2⁷ × 7¹ × 67¹

Step-2: Prime Factorization of 60048

Prime factors of 60048 are 2, 3, 139. Prime factorization of 60048 in exponential form is:

60048 = 2⁴ × 3³ × 139¹

Step-3: Factors of 60032

List of positive integer factors of 60032 that divides 60032 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 67, 112, 128, 134, 224, 268, 448, 469, 536, 896, 938, 1072, 1876, 2144, 3752, 4288, 7504, 8576, 15008, 30016

Step-4: Factors of 60048

List of positive integer factors of 60048 that divides 60032 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 139, 144, 216, 278, 417, 432, 556, 834, 1112, 1251, 1668, 2224, 2502, 3336, 3753, 5004, 6672, 7506, 10008, 15012, 20016, 30024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60032 and 60048. The biggest common factor number is the GCF number.
So the greatest common factor 60032 and 60048 is 16.

Also check out the Least Common Multiple of 60032 and 60048