What is the Greatest Common Factor of 89460 and 89468?

Greatest common factor (GCF) of 89460 and 89468 is 4.

GCF(89460,89468) = 4

We will now calculate the prime factors of 89460 and 89468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89460 and 89468.

How to find the GCF of 89460 and 89468?

We will first find the prime factorization of 89460 and 89468. After we will calculate the factors of 89460 and 89468 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 89468

Prime factors of 89468 are 2, 22367. Prime factorization of 89468 in exponential form is:

89468 = 2² × 22367¹

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 89468

List of positive integer factors of 89468 that divides 89460 without a remainder.

1, 2, 4, 22367, 44734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89460 and 89468. The biggest common factor number is the GCF number.
So the greatest common factor 89460 and 89468 is 4.

Also check out the Least Common Multiple of 89460 and 89468