What is the Greatest Common Factor of 96048 and 96064?

Greatest common factor (GCF) of 96048 and 96064 is 16.

GCF(96048,96064) = 16

We will now calculate the prime factors of 96048 and 96064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96048 and 96064.

How to find the GCF of 96048 and 96064?

We will first find the prime factorization of 96048 and 96064. After we will calculate the factors of 96048 and 96064 and find the biggest common factor number .

Step-1: Prime Factorization of 96048

Prime factors of 96048 are 2, 3, 23, 29. Prime factorization of 96048 in exponential form is:

96048 = 2⁴ × 3² × 23¹ × 29¹

Step-2: Prime Factorization of 96064

Prime factors of 96064 are 2, 19, 79. Prime factorization of 96064 in exponential form is:

96064 = 2⁶ × 19¹ × 79¹

Step-3: Factors of 96048

List of positive integer factors of 96048 that divides 96048 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 29, 36, 46, 48, 58, 69, 72, 87, 92, 116, 138, 144, 174, 184, 207, 232, 261, 276, 348, 368, 414, 464, 522, 552, 667, 696, 828, 1044, 1104, 1334, 1392, 1656, 2001, 2088, 2668, 3312, 4002, 4176, 5336, 6003, 8004, 10672, 12006, 16008, 24012, 32016, 48024

Step-4: Factors of 96064

List of positive integer factors of 96064 that divides 96048 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 79, 152, 158, 304, 316, 608, 632, 1216, 1264, 1501, 2528, 3002, 5056, 6004, 12008, 24016, 48032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96048 and 96064. The biggest common factor number is the GCF number.
So the greatest common factor 96048 and 96064 is 16.

Also check out the Least Common Multiple of 96048 and 96064