What is the Greatest Common Factor of 89444 and 89460?

Greatest common factor (GCF) of 89444 and 89460 is 4.

GCF(89444,89460) = 4

We will now calculate the prime factors of 89444 and 89460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89444 and 89460.

How to find the GCF of 89444 and 89460?

We will first find the prime factorization of 89444 and 89460. After we will calculate the factors of 89444 and 89460 and find the biggest common factor number .

Step-1: Prime Factorization of 89444

Prime factors of 89444 are 2, 59, 379. Prime factorization of 89444 in exponential form is:

89444 = 2² × 59¹ × 379¹

Step-2: 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-3: Factors of 89444

List of positive integer factors of 89444 that divides 89444 without a remainder.

1, 2, 4, 59, 118, 236, 379, 758, 1516, 22361, 44722

Step-4: Factors of 89460

List of positive integer factors of 89460 that divides 89444 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89444 and 89460. The biggest common factor number is the GCF number.
So the greatest common factor 89444 and 89460 is 4.

Also check out the Least Common Multiple of 89444 and 89460