What is the Greatest Common Factor of 89460 and 89478?

Greatest common factor (GCF) of 89460 and 89478 is 18.

GCF(89460,89478) = 18

We will now calculate the prime factors of 89460 and 89478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89460 and 89478.

How to find the GCF of 89460 and 89478?

We will first find the prime factorization of 89460 and 89478. After we will calculate the factors of 89460 and 89478 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 89478

Prime factors of 89478 are 2, 3, 1657. Prime factorization of 89478 in exponential form is:

89478 = 2¹ × 3³ × 1657¹

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 89478

List of positive integer factors of 89478 that divides 89460 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1657, 3314, 4971, 9942, 14913, 29826, 44739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89460 and 89478. The biggest common factor number is the GCF number.
So the greatest common factor 89460 and 89478 is 18.

Also check out the Least Common Multiple of 89460 and 89478