What is the Greatest Common Factor of 89628 and 89648?

Greatest common factor (GCF) of 89628 and 89648 is 4.

GCF(89628,89648) = 4

We will now calculate the prime factors of 89628 and 89648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89628 and 89648.

How to find the GCF of 89628 and 89648?

We will first find the prime factorization of 89628 and 89648. After we will calculate the factors of 89628 and 89648 and find the biggest common factor number .

Step-1: Prime Factorization of 89628

Prime factors of 89628 are 2, 3, 7, 11, 97. Prime factorization of 89628 in exponential form is:

89628 = 2² × 3¹ × 7¹ × 11¹ × 97¹

Step-2: Prime Factorization of 89648

Prime factors of 89648 are 2, 13, 431. Prime factorization of 89648 in exponential form is:

89648 = 2⁴ × 13¹ × 431¹

Step-3: Factors of 89628

List of positive integer factors of 89628 that divides 89628 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 97, 132, 154, 194, 231, 291, 308, 388, 462, 582, 679, 924, 1067, 1164, 1358, 2037, 2134, 2716, 3201, 4074, 4268, 6402, 7469, 8148, 12804, 14938, 22407, 29876, 44814

Step-4: Factors of 89648

List of positive integer factors of 89648 that divides 89628 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 431, 862, 1724, 3448, 5603, 6896, 11206, 22412, 44824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89628 and 89648. The biggest common factor number is the GCF number.
So the greatest common factor 89628 and 89648 is 4.

Also check out the Least Common Multiple of 89628 and 89648