What is the Greatest Common Factor of 77565 and 77580?

Greatest common factor (GCF) of 77565 and 77580 is 15.

GCF(77565,77580) = 15

We will now calculate the prime factors of 77565 and 77580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77565 and 77580.

How to find the GCF of 77565 and 77580?

We will first find the prime factorization of 77565 and 77580. After we will calculate the factors of 77565 and 77580 and find the biggest common factor number .

Step-1: Prime Factorization of 77565

Prime factors of 77565 are 3, 5, 5171. Prime factorization of 77565 in exponential form is:

77565 = 3¹ × 5¹ × 5171¹

Step-2: Prime Factorization of 77580

Prime factors of 77580 are 2, 3, 5, 431. Prime factorization of 77580 in exponential form is:

77580 = 2² × 3² × 5¹ × 431¹

Step-3: Factors of 77565

List of positive integer factors of 77565 that divides 77565 without a remainder.

1, 3, 5, 15, 5171, 15513, 25855

Step-4: Factors of 77580

List of positive integer factors of 77580 that divides 77565 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 431, 862, 1293, 1724, 2155, 2586, 3879, 4310, 5172, 6465, 7758, 8620, 12930, 15516, 19395, 25860, 38790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77565 and 77580. The biggest common factor number is the GCF number.
So the greatest common factor 77565 and 77580 is 15.

Also check out the Least Common Multiple of 77565 and 77580