What is the Greatest Common Factor of 77715 and 77730?

Greatest common factor (GCF) of 77715 and 77730 is 15.

GCF(77715,77730) = 15

We will now calculate the prime factors of 77715 and 77730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77715 and 77730.

How to find the GCF of 77715 and 77730?

We will first find the prime factorization of 77715 and 77730. After we will calculate the factors of 77715 and 77730 and find the biggest common factor number .

Step-1: Prime Factorization of 77715

Prime factors of 77715 are 3, 5, 11, 157. Prime factorization of 77715 in exponential form is:

77715 = 3² × 5¹ × 11¹ × 157¹

Step-2: Prime Factorization of 77730

Prime factors of 77730 are 2, 3, 5, 2591. Prime factorization of 77730 in exponential form is:

77730 = 2¹ × 3¹ × 5¹ × 2591¹

Step-3: Factors of 77715

List of positive integer factors of 77715 that divides 77715 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 157, 165, 471, 495, 785, 1413, 1727, 2355, 5181, 7065, 8635, 15543, 25905

Step-4: Factors of 77730

List of positive integer factors of 77730 that divides 77715 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2591, 5182, 7773, 12955, 15546, 25910, 38865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77715 and 77730. The biggest common factor number is the GCF number.
So the greatest common factor 77715 and 77730 is 15.

Also check out the Least Common Multiple of 77715 and 77730