What is the Greatest Common Factor of 77220 and 77230?

Greatest common factor (GCF) of 77220 and 77230 is 10.

GCF(77220,77230) = 10

We will now calculate the prime factors of 77220 and 77230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77220 and 77230.

How to find the GCF of 77220 and 77230?

We will first find the prime factorization of 77220 and 77230. After we will calculate the factors of 77220 and 77230 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 77230

Prime factors of 77230 are 2, 5, 7723. Prime factorization of 77230 in exponential form is:

77230 = 2¹ × 5¹ × 7723¹

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 77230

List of positive integer factors of 77230 that divides 77220 without a remainder.

1, 2, 5, 10, 7723, 15446, 38615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77220 and 77230. The biggest common factor number is the GCF number.
So the greatest common factor 77220 and 77230 is 10.

Also check out the Least Common Multiple of 77220 and 77230