What is the Greatest Common Factor of 90501 and 90510?

Greatest common factor (GCF) of 90501 and 90510 is 3.

GCF(90501,90510) = 3

We will now calculate the prime factors of 90501 and 90510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90501 and 90510.

How to find the GCF of 90501 and 90510?

We will first find the prime factorization of 90501 and 90510. After we will calculate the factors of 90501 and 90510 and find the biggest common factor number .

Step-1: Prime Factorization of 90501

Prime factors of 90501 are 3, 97, 311. Prime factorization of 90501 in exponential form is:

90501 = 3¹ × 97¹ × 311¹

Step-2: Prime Factorization of 90510

Prime factors of 90510 are 2, 3, 5, 7, 431. Prime factorization of 90510 in exponential form is:

90510 = 2¹ × 3¹ × 5¹ × 7¹ × 431¹

Step-3: Factors of 90501

List of positive integer factors of 90501 that divides 90501 without a remainder.

1, 3, 97, 291, 311, 933, 30167

Step-4: Factors of 90510

List of positive integer factors of 90510 that divides 90501 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 431, 862, 1293, 2155, 2586, 3017, 4310, 6034, 6465, 9051, 12930, 15085, 18102, 30170, 45255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90501 and 90510. The biggest common factor number is the GCF number.
So the greatest common factor 90501 and 90510 is 3.

Also check out the Least Common Multiple of 90501 and 90510