What is the Greatest Common Factor of 95480 and 95488?

Greatest common factor (GCF) of 95480 and 95488 is 8.

GCF(95480,95488) = 8

We will now calculate the prime factors of 95480 and 95488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95480 and 95488.

How to find the GCF of 95480 and 95488?

We will first find the prime factorization of 95480 and 95488. After we will calculate the factors of 95480 and 95488 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 95488

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

95488 = 2⁸ × 373¹

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 95488

List of positive integer factors of 95488 that divides 95480 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95480 and 95488. The biggest common factor number is the GCF number.
So the greatest common factor 95480 and 95488 is 8.

Also check out the Least Common Multiple of 95480 and 95488