What is the Greatest Common Factor of 95475 and 95490?

Greatest common factor (GCF) of 95475 and 95490 is 15.

GCF(95475,95490) = 15

We will now calculate the prime factors of 95475 and 95490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95475 and 95490.

How to find the GCF of 95475 and 95490?

We will first find the prime factorization of 95475 and 95490. After we will calculate the factors of 95475 and 95490 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 95490

Prime factors of 95490 are 2, 3, 5, 1061. Prime factorization of 95490 in exponential form is:

95490 = 2¹ × 3² × 5¹ × 1061¹

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 95490

List of positive integer factors of 95490 that divides 95475 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1061, 2122, 3183, 5305, 6366, 9549, 10610, 15915, 19098, 31830, 47745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95475 and 95490. The biggest common factor number is the GCF number.
So the greatest common factor 95475 and 95490 is 15.

Also check out the Least Common Multiple of 95475 and 95490