What is the Greatest Common Factor of 88960 and 88970?

Greatest common factor (GCF) of 88960 and 88970 is 10.

GCF(88960,88970) = 10

We will now calculate the prime factors of 88960 and 88970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88960 and 88970.

How to find the GCF of 88960 and 88970?

We will first find the prime factorization of 88960 and 88970. After we will calculate the factors of 88960 and 88970 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88970

Prime factors of 88970 are 2, 5, 7, 31, 41. Prime factorization of 88970 in exponential form is:

88970 = 2¹ × 5¹ × 7¹ × 31¹ × 41¹

Step-3: Factors of 88960

List of positive integer factors of 88960 that divides 88960 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

Step-4: Factors of 88970

List of positive integer factors of 88970 that divides 88960 without a remainder.

1, 2, 5, 7, 10, 14, 31, 35, 41, 62, 70, 82, 155, 205, 217, 287, 310, 410, 434, 574, 1085, 1271, 1435, 2170, 2542, 2870, 6355, 8897, 12710, 17794, 44485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88960 and 88970. The biggest common factor number is the GCF number.
So the greatest common factor 88960 and 88970 is 10.

Also check out the Least Common Multiple of 88960 and 88970