What is the Greatest Common Factor of 96048 and 96068?

Greatest common factor (GCF) of 96048 and 96068 is 4.

GCF(96048,96068) = 4

We will now calculate the prime factors of 96048 and 96068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96048 and 96068.

How to find the GCF of 96048 and 96068?

We will first find the prime factorization of 96048 and 96068. After we will calculate the factors of 96048 and 96068 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 96068

Prime factors of 96068 are 2, 7, 47, 73. Prime factorization of 96068 in exponential form is:

96068 = 2² × 7¹ × 47¹ × 73¹

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 96068

List of positive integer factors of 96068 that divides 96048 without a remainder.

1, 2, 4, 7, 14, 28, 47, 73, 94, 146, 188, 292, 329, 511, 658, 1022, 1316, 2044, 3431, 6862, 13724, 24017, 48034

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96048 and 96068. The biggest common factor number is the GCF number.
So the greatest common factor 96048 and 96068 is 4.

Also check out the Least Common Multiple of 96048 and 96068