What is the Greatest Common Factor of 89471 and 89490?

Greatest common factor (GCF) of 89471 and 89490 is 19.

GCF(89471,89490) = 19

We will now calculate the prime factors of 89471 and 89490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89471 and 89490.

How to find the GCF of 89471 and 89490?

We will first find the prime factorization of 89471 and 89490. After we will calculate the factors of 89471 and 89490 and find the biggest common factor number .

Step-1: Prime Factorization of 89471

Prime factors of 89471 are 17, 19, 277. Prime factorization of 89471 in exponential form is:

89471 = 17¹ × 19¹ × 277¹

Step-2: Prime Factorization of 89490

Prime factors of 89490 are 2, 3, 5, 19, 157. Prime factorization of 89490 in exponential form is:

89490 = 2¹ × 3¹ × 5¹ × 19¹ × 157¹

Step-3: Factors of 89471

List of positive integer factors of 89471 that divides 89471 without a remainder.

1, 17, 19, 277, 323, 4709, 5263

Step-4: Factors of 89490

List of positive integer factors of 89490 that divides 89471 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 157, 190, 285, 314, 471, 570, 785, 942, 1570, 2355, 2983, 4710, 5966, 8949, 14915, 17898, 29830, 44745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89471 and 89490. The biggest common factor number is the GCF number.
So the greatest common factor 89471 and 89490 is 19.

Also check out the Least Common Multiple of 89471 and 89490