What is the Greatest Common Factor of 88950 and 88960?

Greatest common factor (GCF) of 88950 and 88960 is 10.

GCF(88950,88960) = 10

We will now calculate the prime factors of 88950 and 88960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88950 and 88960.

How to find the GCF of 88950 and 88960?

We will first find the prime factorization of 88950 and 88960. After we will calculate the factors of 88950 and 88960 and find the biggest common factor number .

Step-1: Prime Factorization of 88950

Prime factors of 88950 are 2, 3, 5, 593. Prime factorization of 88950 in exponential form is:

88950 = 2¹ × 3¹ × 5² × 593¹

Step-2: Prime Factorization of 88960

Prime factors of 88960 are 2, 5, 139. Prime factorization of 88960 in exponential form is:

88960 = 2⁷ × 5¹ × 139¹

Step-3: Factors of 88950

List of positive integer factors of 88950 that divides 88950 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 593, 1186, 1779, 2965, 3558, 5930, 8895, 14825, 17790, 29650, 44475

Step-4: Factors of 88960

List of positive integer factors of 88960 that divides 88950 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 139, 160, 278, 320, 556, 640, 695, 1112, 1390, 2224, 2780, 4448, 5560, 8896, 11120, 17792, 22240, 44480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88950 and 88960. The biggest common factor number is the GCF number.
So the greatest common factor 88950 and 88960 is 10.

Also check out the Least Common Multiple of 88950 and 88960