What is the Greatest Common Factor of 89270 and 89290?

Greatest common factor (GCF) of 89270 and 89290 is 10.

GCF(89270,89290) = 10

We will now calculate the prime factors of 89270 and 89290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89270 and 89290.

How to find the GCF of 89270 and 89290?

We will first find the prime factorization of 89270 and 89290. After we will calculate the factors of 89270 and 89290 and find the biggest common factor number .

Step-1: Prime Factorization of 89270

Prime factors of 89270 are 2, 5, 79, 113. Prime factorization of 89270 in exponential form is:

89270 = 2¹ × 5¹ × 79¹ × 113¹

Step-2: Prime Factorization of 89290

Prime factors of 89290 are 2, 5, 8929. Prime factorization of 89290 in exponential form is:

89290 = 2¹ × 5¹ × 8929¹

Step-3: Factors of 89270

List of positive integer factors of 89270 that divides 89270 without a remainder.

1, 2, 5, 10, 79, 113, 158, 226, 395, 565, 790, 1130, 8927, 17854, 44635

Step-4: Factors of 89290

List of positive integer factors of 89290 that divides 89270 without a remainder.

1, 2, 5, 10, 8929, 17858, 44645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89270 and 89290. The biggest common factor number is the GCF number.
So the greatest common factor 89270 and 89290 is 10.

Also check out the Least Common Multiple of 89270 and 89290