What is the Greatest Common Factor of 97525 and 97535?

Greatest common factor (GCF) of 97525 and 97535 is 5.

GCF(97525,97535) = 5

We will now calculate the prime factors of 97525 and 97535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97525 and 97535.

How to find the GCF of 97525 and 97535?

We will first find the prime factorization of 97525 and 97535. After we will calculate the factors of 97525 and 97535 and find the biggest common factor number .

Step-1: Prime Factorization of 97525

Prime factors of 97525 are 5, 47, 83. Prime factorization of 97525 in exponential form is:

97525 = 5² × 47¹ × 83¹

Step-2: Prime Factorization of 97535

Prime factors of 97535 are 5, 19507. Prime factorization of 97535 in exponential form is:

97535 = 5¹ × 19507¹

Step-3: Factors of 97525

List of positive integer factors of 97525 that divides 97525 without a remainder.

1, 5, 25, 47, 83, 235, 415, 1175, 2075, 3901, 19505

Step-4: Factors of 97535

List of positive integer factors of 97535 that divides 97525 without a remainder.

1, 5, 19507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97525 and 97535. The biggest common factor number is the GCF number.
So the greatest common factor 97525 and 97535 is 5.

Also check out the Least Common Multiple of 97525 and 97535