What is the Greatest Common Factor of 89090 and 89110?

Greatest common factor (GCF) of 89090 and 89110 is 10.

GCF(89090,89110) = 10

We will now calculate the prime factors of 89090 and 89110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89090 and 89110.

How to find the GCF of 89090 and 89110?

We will first find the prime factorization of 89090 and 89110. After we will calculate the factors of 89090 and 89110 and find the biggest common factor number .

Step-1: Prime Factorization of 89090

Prime factors of 89090 are 2, 5, 59, 151. Prime factorization of 89090 in exponential form is:

89090 = 2¹ × 5¹ × 59¹ × 151¹

Step-2: Prime Factorization of 89110

Prime factors of 89110 are 2, 5, 7, 19, 67. Prime factorization of 89110 in exponential form is:

89110 = 2¹ × 5¹ × 7¹ × 19¹ × 67¹

Step-3: Factors of 89090

List of positive integer factors of 89090 that divides 89090 without a remainder.

1, 2, 5, 10, 59, 118, 151, 295, 302, 590, 755, 1510, 8909, 17818, 44545

Step-4: Factors of 89110

List of positive integer factors of 89110 that divides 89090 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 67, 70, 95, 133, 134, 190, 266, 335, 469, 665, 670, 938, 1273, 1330, 2345, 2546, 4690, 6365, 8911, 12730, 17822, 44555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89090 and 89110. The biggest common factor number is the GCF number.
So the greatest common factor 89090 and 89110 is 10.

Also check out the Least Common Multiple of 89090 and 89110