What is the Greatest Common Factor of 98505 and 98525?

Greatest common factor (GCF) of 98505 and 98525 is 5.

GCF(98505,98525) = 5

We will now calculate the prime factors of 98505 and 98525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98505 and 98525.

How to find the GCF of 98505 and 98525?

We will first find the prime factorization of 98505 and 98525. After we will calculate the factors of 98505 and 98525 and find the biggest common factor number .

Step-1: Prime Factorization of 98505

Prime factors of 98505 are 3, 5, 11, 199. Prime factorization of 98505 in exponential form is:

98505 = 3² × 5¹ × 11¹ × 199¹

Step-2: Prime Factorization of 98525

Prime factors of 98525 are 5, 7, 563. Prime factorization of 98525 in exponential form is:

98525 = 5² × 7¹ × 563¹

Step-3: Factors of 98505

List of positive integer factors of 98505 that divides 98505 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 199, 495, 597, 995, 1791, 2189, 2985, 6567, 8955, 10945, 19701, 32835

Step-4: Factors of 98525

List of positive integer factors of 98525 that divides 98505 without a remainder.

1, 5, 7, 25, 35, 175, 563, 2815, 3941, 14075, 19705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98505 and 98525. The biggest common factor number is the GCF number.
So the greatest common factor 98505 and 98525 is 5.

Also check out the Least Common Multiple of 98505 and 98525