What is the Greatest Common Factor of 89490 and 89495?

Greatest common factor (GCF) of 89490 and 89495 is 5.

GCF(89490,89495) = 5

We will now calculate the prime factors of 89490 and 89495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89490 and 89495.

How to find the GCF of 89490 and 89495?

We will first find the prime factorization of 89490 and 89495. After we will calculate the factors of 89490 and 89495 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 89495

Prime factors of 89495 are 5, 7, 2557. Prime factorization of 89495 in exponential form is:

89495 = 5¹ × 7¹ × 2557¹

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 89495

List of positive integer factors of 89495 that divides 89490 without a remainder.

1, 5, 7, 35, 2557, 12785, 17899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89490 and 89495. The biggest common factor number is the GCF number.
So the greatest common factor 89490 and 89495 is 5.

Also check out the Least Common Multiple of 89490 and 89495