What is the Greatest Common Factor of 97510 and 97525?

Greatest common factor (GCF) of 97510 and 97525 is 5.

GCF(97510,97525) = 5

We will now calculate the prime factors of 97510 and 97525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97510 and 97525.

How to find the GCF of 97510 and 97525?

We will first find the prime factorization of 97510 and 97525. After we will calculate the factors of 97510 and 97525 and find the biggest common factor number .

Step-1: Prime Factorization of 97510

Prime factors of 97510 are 2, 5, 7, 199. Prime factorization of 97510 in exponential form is:

97510 = 2¹ × 5¹ × 7² × 199¹

Step-2: 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-3: Factors of 97510

List of positive integer factors of 97510 that divides 97510 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 199, 245, 398, 490, 995, 1393, 1990, 2786, 6965, 9751, 13930, 19502, 48755

Step-4: Factors of 97525

List of positive integer factors of 97525 that divides 97510 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97510 and 97525. The biggest common factor number is the GCF number.
So the greatest common factor 97510 and 97525 is 5.

Also check out the Least Common Multiple of 97510 and 97525