What is the Greatest Common Factor of 77562 and 77580?

Greatest common factor (GCF) of 77562 and 77580 is 18.

GCF(77562,77580) = 18

We will now calculate the prime factors of 77562 and 77580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77562 and 77580.

How to find the GCF of 77562 and 77580?

We will first find the prime factorization of 77562 and 77580. After we will calculate the factors of 77562 and 77580 and find the biggest common factor number .

Step-1: Prime Factorization of 77562

Prime factors of 77562 are 2, 3, 31, 139. Prime factorization of 77562 in exponential form is:

77562 = 2¹ × 3² × 31¹ × 139¹

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 77562

List of positive integer factors of 77562 that divides 77562 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 139, 186, 278, 279, 417, 558, 834, 1251, 2502, 4309, 8618, 12927, 25854, 38781

Step-4: Factors of 77580

List of positive integer factors of 77580 that divides 77562 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 77562 and 77580. The biggest common factor number is the GCF number.
So the greatest common factor 77562 and 77580 is 18.

Also check out the Least Common Multiple of 77562 and 77580