What is the Greatest Common Factor of 89490 and 89509?

Greatest common factor (GCF) of 89490 and 89509 is 19.

GCF(89490,89509) = 19

We will now calculate the prime factors of 89490 and 89509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89490 and 89509.

How to find the GCF of 89490 and 89509?

We will first find the prime factorization of 89490 and 89509. After we will calculate the factors of 89490 and 89509 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89509

Prime factors of 89509 are 7, 19, 673. Prime factorization of 89509 in exponential form is:

89509 = 7¹ × 19¹ × 673¹

Step-3: Factors of 89490

List of positive integer factors of 89490 that divides 89490 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

Step-4: Factors of 89509

List of positive integer factors of 89509 that divides 89490 without a remainder.

1, 7, 19, 133, 673, 4711, 12787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89490 and 89509. The biggest common factor number is the GCF number.
So the greatest common factor 89490 and 89509 is 19.

Also check out the Least Common Multiple of 89490 and 89509