What is the Greatest Common Factor of 95496 and 95504?

Greatest common factor (GCF) of 95496 and 95504 is 8.

GCF(95496,95504) = 8

We will now calculate the prime factors of 95496 and 95504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95496 and 95504.

How to find the GCF of 95496 and 95504?

We will first find the prime factorization of 95496 and 95504. After we will calculate the factors of 95496 and 95504 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95504

Prime factors of 95504 are 2, 47, 127. Prime factorization of 95504 in exponential form is:

95504 = 2⁴ × 47¹ × 127¹

Step-3: Factors of 95496

List of positive integer factors of 95496 that divides 95496 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

Step-4: Factors of 95504

List of positive integer factors of 95504 that divides 95496 without a remainder.

1, 2, 4, 8, 16, 47, 94, 127, 188, 254, 376, 508, 752, 1016, 2032, 5969, 11938, 23876, 47752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95496 and 95504. The biggest common factor number is the GCF number.
So the greatest common factor 95496 and 95504 is 8.

Also check out the Least Common Multiple of 95496 and 95504