What is the Greatest Common Factor of 77220 and 77232?

Greatest common factor (GCF) of 77220 and 77232 is 12.

GCF(77220,77232) = 12

We will now calculate the prime factors of 77220 and 77232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77220 and 77232.

How to find the GCF of 77220 and 77232?

We will first find the prime factorization of 77220 and 77232. After we will calculate the factors of 77220 and 77232 and find the biggest common factor number .

Step-1: Prime Factorization of 77220

Prime factors of 77220 are 2, 3, 5, 11, 13. Prime factorization of 77220 in exponential form is:

77220 = 2² × 3³ × 5¹ × 11¹ × 13¹

Step-2: Prime Factorization of 77232

Prime factors of 77232 are 2, 3, 1609. Prime factorization of 77232 in exponential form is:

77232 = 2⁴ × 3¹ × 1609¹

Step-3: Factors of 77220

List of positive integer factors of 77220 that divides 77220 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 15, 18, 20, 22, 26, 27, 30, 33, 36, 39, 44, 45, 52, 54, 55, 60, 65, 66, 78, 90, 99, 108, 110, 117, 130, 132, 135, 143, 156, 165, 180, 195, 198, 220, 234, 260, 270, 286, 297, 330, 351, 390, 396, 429, 468, 495, 540, 572, 585, 594, 660, 702, 715, 780, 858, 990, 1170, 1188, 1287, 1404, 1430, 1485, 1716, 1755, 1980, 2145, 2340, 2574, 2860, 2970, 3510, 3861, 4290, 5148, 5940, 6435, 7020, 7722, 8580, 12870, 15444, 19305, 25740, 38610

Step-4: Factors of 77232

List of positive integer factors of 77232 that divides 77220 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1609, 3218, 4827, 6436, 9654, 12872, 19308, 25744, 38616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77220 and 77232. The biggest common factor number is the GCF number.
So the greatest common factor 77220 and 77232 is 12.

Also check out the Least Common Multiple of 77220 and 77232