What is the Greatest Common Factor of 95480 and 95496?

Greatest common factor (GCF) of 95480 and 95496 is 8.

GCF(95480,95496) = 8

We will now calculate the prime factors of 95480 and 95496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95480 and 95496.

How to find the GCF of 95480 and 95496?

We will first find the prime factorization of 95480 and 95496. After we will calculate the factors of 95480 and 95496 and find the biggest common factor number .

Step-1: Prime Factorization of 95480

Prime factors of 95480 are 2, 5, 7, 11, 31. Prime factorization of 95480 in exponential form is:

95480 = 2³ × 5¹ × 7¹ × 11¹ × 31¹

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 95480

List of positive integer factors of 95480 that divides 95480 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 31, 35, 40, 44, 55, 56, 62, 70, 77, 88, 110, 124, 140, 154, 155, 217, 220, 248, 280, 308, 310, 341, 385, 434, 440, 616, 620, 682, 770, 868, 1085, 1240, 1364, 1540, 1705, 1736, 2170, 2387, 2728, 3080, 3410, 4340, 4774, 6820, 8680, 9548, 11935, 13640, 19096, 23870, 47740

Step-4: Factors of 95496

List of positive integer factors of 95496 that divides 95480 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 95480 and 95496. The biggest common factor number is the GCF number.
So the greatest common factor 95480 and 95496 is 8.

Also check out the Least Common Multiple of 95480 and 95496