What is the Greatest Common Factor of 95776 and 95792?

Greatest common factor (GCF) of 95776 and 95792 is 16.

GCF(95776,95792) = 16

We will now calculate the prime factors of 95776 and 95792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95776 and 95792.

How to find the GCF of 95776 and 95792?

We will first find the prime factorization of 95776 and 95792. After we will calculate the factors of 95776 and 95792 and find the biggest common factor number .

Step-1: Prime Factorization of 95776

Prime factors of 95776 are 2, 41, 73. Prime factorization of 95776 in exponential form is:

95776 = 2⁵ × 41¹ × 73¹

Step-2: Prime Factorization of 95792

Prime factors of 95792 are 2, 5987. Prime factorization of 95792 in exponential form is:

95792 = 2⁴ × 5987¹

Step-3: Factors of 95776

List of positive integer factors of 95776 that divides 95776 without a remainder.

1, 2, 4, 8, 16, 32, 41, 73, 82, 146, 164, 292, 328, 584, 656, 1168, 1312, 2336, 2993, 5986, 11972, 23944, 47888

Step-4: Factors of 95792

List of positive integer factors of 95792 that divides 95776 without a remainder.

1, 2, 4, 8, 16, 5987, 11974, 23948, 47896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95776 and 95792. The biggest common factor number is the GCF number.
So the greatest common factor 95776 and 95792 is 16.

Also check out the Least Common Multiple of 95776 and 95792