What is the Greatest Common Factor of 89474 and 89485?

Greatest common factor (GCF) of 89474 and 89485 is 11.

GCF(89474,89485) = 11

We will now calculate the prime factors of 89474 and 89485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89474 and 89485.

How to find the GCF of 89474 and 89485?

We will first find the prime factorization of 89474 and 89485. After we will calculate the factors of 89474 and 89485 and find the biggest common factor number .

Step-1: Prime Factorization of 89474

Prime factors of 89474 are 2, 7, 11, 83. Prime factorization of 89474 in exponential form is:

89474 = 2¹ × 7² × 11¹ × 83¹

Step-2: Prime Factorization of 89485

Prime factors of 89485 are 5, 11, 1627. Prime factorization of 89485 in exponential form is:

89485 = 5¹ × 11¹ × 1627¹

Step-3: Factors of 89474

List of positive integer factors of 89474 that divides 89474 without a remainder.

1, 2, 7, 11, 14, 22, 49, 77, 83, 98, 154, 166, 539, 581, 913, 1078, 1162, 1826, 4067, 6391, 8134, 12782, 44737

Step-4: Factors of 89485

List of positive integer factors of 89485 that divides 89474 without a remainder.

1, 5, 11, 55, 1627, 8135, 17897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89474 and 89485. The biggest common factor number is the GCF number.
So the greatest common factor 89474 and 89485 is 11.

Also check out the Least Common Multiple of 89474 and 89485