What is the Greatest Common Factor of 98525 and 98540?

Greatest common factor (GCF) of 98525 and 98540 is 5.

GCF(98525,98540) = 5

We will now calculate the prime factors of 98525 and 98540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98525 and 98540.

How to find the GCF of 98525 and 98540?

We will first find the prime factorization of 98525 and 98540. After we will calculate the factors of 98525 and 98540 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98540

Prime factors of 98540 are 2, 5, 13, 379. Prime factorization of 98540 in exponential form is:

98540 = 2² × 5¹ × 13¹ × 379¹

Step-3: Factors of 98525

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

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

Step-4: Factors of 98540

List of positive integer factors of 98540 that divides 98525 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 379, 758, 1516, 1895, 3790, 4927, 7580, 9854, 19708, 24635, 49270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98525 and 98540. The biggest common factor number is the GCF number.
So the greatest common factor 98525 and 98540 is 5.

Also check out the Least Common Multiple of 98525 and 98540