What is the Greatest Common Factor of 89648 and 89661?

Greatest common factor (GCF) of 89648 and 89661 is 13.

GCF(89648,89661) = 13

We will now calculate the prime factors of 89648 and 89661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89648 and 89661.

How to find the GCF of 89648 and 89661?

We will first find the prime factorization of 89648 and 89661. After we will calculate the factors of 89648 and 89661 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89661

Prime factors of 89661 are 3, 11, 13, 19. Prime factorization of 89661 in exponential form is:

89661 = 3¹ × 11² × 13¹ × 19¹

Step-3: Factors of 89648

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

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

Step-4: Factors of 89661

List of positive integer factors of 89661 that divides 89648 without a remainder.

1, 3, 11, 13, 19, 33, 39, 57, 121, 143, 209, 247, 363, 429, 627, 741, 1573, 2299, 2717, 4719, 6897, 8151, 29887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89648 and 89661. The biggest common factor number is the GCF number.
So the greatest common factor 89648 and 89661 is 13.

Also check out the Least Common Multiple of 89648 and 89661