What is the Greatest Common Factor of 77490 and 77505?

Greatest common factor (GCF) of 77490 and 77505 is 15.

GCF(77490,77505) = 15

We will now calculate the prime factors of 77490 and 77505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77490 and 77505.

How to find the GCF of 77490 and 77505?

We will first find the prime factorization of 77490 and 77505. After we will calculate the factors of 77490 and 77505 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77505

Prime factors of 77505 are 3, 5, 5167. Prime factorization of 77505 in exponential form is:

77505 = 3¹ × 5¹ × 5167¹

Step-3: Factors of 77490

List of positive integer factors of 77490 that divides 77490 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

Step-4: Factors of 77505

List of positive integer factors of 77505 that divides 77490 without a remainder.

1, 3, 5, 15, 5167, 15501, 25835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77490 and 77505. The biggest common factor number is the GCF number.
So the greatest common factor 77490 and 77505 is 15.

Also check out the Least Common Multiple of 77490 and 77505