What is the Greatest Common Factor of 95488 and 95496?

Greatest common factor (GCF) of 95488 and 95496 is 8.

GCF(95488,95496) = 8

We will now calculate the prime factors of 95488 and 95496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95488 and 95496.

How to find the GCF of 95488 and 95496?

We will first find the prime factorization of 95488 and 95496. After we will calculate the factors of 95488 and 95496 and find the biggest common factor number .

Step-1: Prime Factorization of 95488

Prime factors of 95488 are 2, 373. Prime factorization of 95488 in exponential form is:

95488 = 2⁸ × 373¹

Step-2: Prime Factorization of 95496

Prime factors of 95496 are 2, 3, 23, 173. Prime factorization of 95496 in exponential form is:

95496 = 2³ × 3¹ × 23¹ × 173¹

Step-3: Factors of 95488

List of positive integer factors of 95488 that divides 95488 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 373, 746, 1492, 2984, 5968, 11936, 23872, 47744

Step-4: Factors of 95496

List of positive integer factors of 95496 that divides 95488 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 173, 184, 276, 346, 519, 552, 692, 1038, 1384, 2076, 3979, 4152, 7958, 11937, 15916, 23874, 31832, 47748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95488 and 95496. The biggest common factor number is the GCF number.
So the greatest common factor 95488 and 95496 is 8.

Also check out the Least Common Multiple of 95488 and 95496