What is the Greatest Common Factor of 96272 and 96284?

Greatest common factor (GCF) of 96272 and 96284 is 4.

GCF(96272,96284) = 4

We will now calculate the prime factors of 96272 and 96284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96272 and 96284.

How to find the GCF of 96272 and 96284?

We will first find the prime factorization of 96272 and 96284. After we will calculate the factors of 96272 and 96284 and find the biggest common factor number .

Step-1: Prime Factorization of 96272

Prime factors of 96272 are 2, 11, 547. Prime factorization of 96272 in exponential form is:

96272 = 2⁴ × 11¹ × 547¹

Step-2: Prime Factorization of 96284

Prime factors of 96284 are 2, 24071. Prime factorization of 96284 in exponential form is:

96284 = 2² × 24071¹

Step-3: Factors of 96272

List of positive integer factors of 96272 that divides 96272 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 547, 1094, 2188, 4376, 6017, 8752, 12034, 24068, 48136

Step-4: Factors of 96284

List of positive integer factors of 96284 that divides 96272 without a remainder.

1, 2, 4, 24071, 48142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96272 and 96284. The biggest common factor number is the GCF number.
So the greatest common factor 96272 and 96284 is 4.

Also check out the Least Common Multiple of 96272 and 96284