What is the Greatest Common Factor of 95392 and 95408?

Greatest common factor (GCF) of 95392 and 95408 is 16.

GCF(95392,95408) = 16

We will now calculate the prime factors of 95392 and 95408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95392 and 95408.

How to find the GCF of 95392 and 95408?

We will first find the prime factorization of 95392 and 95408. After we will calculate the factors of 95392 and 95408 and find the biggest common factor number .

Step-1: Prime Factorization of 95392

Prime factors of 95392 are 2, 11, 271. Prime factorization of 95392 in exponential form is:

95392 = 2⁵ × 11¹ × 271¹

Step-2: Prime Factorization of 95408

Prime factors of 95408 are 2, 67, 89. Prime factorization of 95408 in exponential form is:

95408 = 2⁴ × 67¹ × 89¹

Step-3: Factors of 95392

List of positive integer factors of 95392 that divides 95392 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 271, 352, 542, 1084, 2168, 2981, 4336, 5962, 8672, 11924, 23848, 47696

Step-4: Factors of 95408

List of positive integer factors of 95408 that divides 95392 without a remainder.

1, 2, 4, 8, 16, 67, 89, 134, 178, 268, 356, 536, 712, 1072, 1424, 5963, 11926, 23852, 47704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95392 and 95408. The biggest common factor number is the GCF number.
So the greatest common factor 95392 and 95408 is 16.

Also check out the Least Common Multiple of 95392 and 95408