What is the Greatest Common Factor of 95475 and 95480?

Greatest common factor (GCF) of 95475 and 95480 is 5.

GCF(95475,95480) = 5

We will now calculate the prime factors of 95475 and 95480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95475 and 95480.

How to find the GCF of 95475 and 95480?

We will first find the prime factorization of 95475 and 95480. After we will calculate the factors of 95475 and 95480 and find the biggest common factor number .

Step-1: Prime Factorization of 95475

Prime factors of 95475 are 3, 5, 19, 67. Prime factorization of 95475 in exponential form is:

95475 = 3¹ × 5² × 19¹ × 67¹

Step-2: 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-3: Factors of 95475

List of positive integer factors of 95475 that divides 95475 without a remainder.

1, 3, 5, 15, 19, 25, 57, 67, 75, 95, 201, 285, 335, 475, 1005, 1273, 1425, 1675, 3819, 5025, 6365, 19095, 31825

Step-4: Factors of 95480

List of positive integer factors of 95480 that divides 95475 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95475 and 95480. The biggest common factor number is the GCF number.
So the greatest common factor 95475 and 95480 is 5.

Also check out the Least Common Multiple of 95475 and 95480