What is the Greatest Common Factor of 96068 and 96076?

Greatest common factor (GCF) of 96068 and 96076 is 4.

GCF(96068,96076) = 4

We will now calculate the prime factors of 96068 and 96076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96068 and 96076.

How to find the GCF of 96068 and 96076?

We will first find the prime factorization of 96068 and 96076. After we will calculate the factors of 96068 and 96076 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96076

Prime factors of 96076 are 2, 24019. Prime factorization of 96076 in exponential form is:

96076 = 2² × 24019¹

Step-3: Factors of 96068

List of positive integer factors of 96068 that divides 96068 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

Step-4: Factors of 96076

List of positive integer factors of 96076 that divides 96068 without a remainder.

1, 2, 4, 24019, 48038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96068 and 96076. The biggest common factor number is the GCF number.
So the greatest common factor 96068 and 96076 is 4.

Also check out the Least Common Multiple of 96068 and 96076