What is the Greatest Common Factor of 90510 and 90525?

Greatest common factor (GCF) of 90510 and 90525 is 15.

GCF(90510,90525) = 15

We will now calculate the prime factors of 90510 and 90525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90510 and 90525.

How to find the GCF of 90510 and 90525?

We will first find the prime factorization of 90510 and 90525. After we will calculate the factors of 90510 and 90525 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90525

Prime factors of 90525 are 3, 5, 17, 71. Prime factorization of 90525 in exponential form is:

90525 = 3¹ × 5² × 17¹ × 71¹

Step-3: Factors of 90510

List of positive integer factors of 90510 that divides 90510 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

Step-4: Factors of 90525

List of positive integer factors of 90525 that divides 90510 without a remainder.

1, 3, 5, 15, 17, 25, 51, 71, 75, 85, 213, 255, 355, 425, 1065, 1207, 1275, 1775, 3621, 5325, 6035, 18105, 30175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90510 and 90525. The biggest common factor number is the GCF number.
So the greatest common factor 90510 and 90525 is 15.

Also check out the Least Common Multiple of 90510 and 90525