What is the Greatest Common Factor of 89460 and 89466?

Greatest common factor (GCF) of 89460 and 89466 is 6.

GCF(89460,89466) = 6

We will now calculate the prime factors of 89460 and 89466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89460 and 89466.

How to find the GCF of 89460 and 89466?

We will first find the prime factorization of 89460 and 89466. After we will calculate the factors of 89460 and 89466 and find the biggest common factor number .

Step-1: Prime Factorization of 89460

Prime factors of 89460 are 2, 3, 5, 7, 71. Prime factorization of 89460 in exponential form is:

89460 = 2² × 3² × 5¹ × 7¹ × 71¹

Step-2: Prime Factorization of 89466

Prime factors of 89466 are 2, 3, 13, 31, 37. Prime factorization of 89466 in exponential form is:

89466 = 2¹ × 3¹ × 13¹ × 31¹ × 37¹

Step-3: Factors of 89460

List of positive integer factors of 89460 that divides 89460 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 71, 84, 90, 105, 126, 140, 142, 180, 210, 213, 252, 284, 315, 355, 420, 426, 497, 630, 639, 710, 852, 994, 1065, 1260, 1278, 1420, 1491, 1988, 2130, 2485, 2556, 2982, 3195, 4260, 4473, 4970, 5964, 6390, 7455, 8946, 9940, 12780, 14910, 17892, 22365, 29820, 44730

Step-4: Factors of 89466

List of positive integer factors of 89466 that divides 89460 without a remainder.

1, 2, 3, 6, 13, 26, 31, 37, 39, 62, 74, 78, 93, 111, 186, 222, 403, 481, 806, 962, 1147, 1209, 1443, 2294, 2418, 2886, 3441, 6882, 14911, 29822, 44733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89460 and 89466. The biggest common factor number is the GCF number.
So the greatest common factor 89460 and 89466 is 6.

Also check out the Least Common Multiple of 89460 and 89466