What is the Greatest Common Factor of 97498 and 97506?

Greatest common factor (GCF) of 97498 and 97506 is 2.

GCF(97498,97506) = 2

We will now calculate the prime factors of 97498 and 97506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97498 and 97506.

How to find the GCF of 97498 and 97506?

We will first find the prime factorization of 97498 and 97506. After we will calculate the factors of 97498 and 97506 and find the biggest common factor number .

Step-1: Prime Factorization of 97498

Prime factors of 97498 are 2, 29, 41. Prime factorization of 97498 in exponential form is:

97498 = 2¹ × 29¹ × 41²

Step-2: Prime Factorization of 97506

Prime factors of 97506 are 2, 3, 5417. Prime factorization of 97506 in exponential form is:

97506 = 2¹ × 3² × 5417¹

Step-3: Factors of 97498

List of positive integer factors of 97498 that divides 97498 without a remainder.

1, 2, 29, 41, 58, 82, 1189, 1681, 2378, 3362, 48749

Step-4: Factors of 97506

List of positive integer factors of 97506 that divides 97498 without a remainder.

1, 2, 3, 6, 9, 18, 5417, 10834, 16251, 32502, 48753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97498 and 97506. The biggest common factor number is the GCF number.
So the greatest common factor 97498 and 97506 is 2.

Also check out the Least Common Multiple of 97498 and 97506