What is the Greatest Common Factor of 77475 and 77490?

Greatest common factor (GCF) of 77475 and 77490 is 15.

GCF(77475,77490) = 15

We will now calculate the prime factors of 77475 and 77490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77475 and 77490.

How to find the GCF of 77475 and 77490?

We will first find the prime factorization of 77475 and 77490. After we will calculate the factors of 77475 and 77490 and find the biggest common factor number .

Step-1: Prime Factorization of 77475

Prime factors of 77475 are 3, 5, 1033. Prime factorization of 77475 in exponential form is:

77475 = 3¹ × 5² × 1033¹

Step-2: Prime Factorization of 77490

Prime factors of 77490 are 2, 3, 5, 7, 41. Prime factorization of 77490 in exponential form is:

77490 = 2¹ × 3³ × 5¹ × 7¹ × 41¹

Step-3: Factors of 77475

List of positive integer factors of 77475 that divides 77475 without a remainder.

1, 3, 5, 15, 25, 75, 1033, 3099, 5165, 15495, 25825

Step-4: Factors of 77490

List of positive integer factors of 77490 that divides 77475 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 41, 42, 45, 54, 63, 70, 82, 90, 105, 123, 126, 135, 189, 205, 210, 246, 270, 287, 315, 369, 378, 410, 574, 615, 630, 738, 861, 945, 1107, 1230, 1435, 1722, 1845, 1890, 2214, 2583, 2870, 3690, 4305, 5166, 5535, 7749, 8610, 11070, 12915, 15498, 25830, 38745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77475 and 77490. The biggest common factor number is the GCF number.
So the greatest common factor 77475 and 77490 is 15.

Also check out the Least Common Multiple of 77475 and 77490