What is the Greatest Common Factor of 89460 and 89474?

Greatest common factor (GCF) of 89460 and 89474 is 14.

GCF(89460,89474) = 14

We will now calculate the prime factors of 89460 and 89474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89460 and 89474.

How to find the GCF of 89460 and 89474?

We will first find the prime factorization of 89460 and 89474. After we will calculate the factors of 89460 and 89474 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 89474

Prime factors of 89474 are 2, 7, 11, 83. Prime factorization of 89474 in exponential form is:

89474 = 2¹ × 7² × 11¹ × 83¹

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 89474

List of positive integer factors of 89474 that divides 89460 without a remainder.

1, 2, 7, 11, 14, 22, 49, 77, 83, 98, 154, 166, 539, 581, 913, 1078, 1162, 1826, 4067, 6391, 8134, 12782, 44737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89460 and 89474. The biggest common factor number is the GCF number.
So the greatest common factor 89460 and 89474 is 14.

Also check out the Least Common Multiple of 89460 and 89474