What is the Greatest Common Factor of 97574 and 97582?

Greatest common factor (GCF) of 97574 and 97582 is 2.

GCF(97574,97582) = 2

We will now calculate the prime factors of 97574 and 97582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97574 and 97582.

How to find the GCF of 97574 and 97582?

We will first find the prime factorization of 97574 and 97582. After we will calculate the factors of 97574 and 97582 and find the biggest common factor number .

Step-1: Prime Factorization of 97574

Prime factors of 97574 are 2, 48787. Prime factorization of 97574 in exponential form is:

97574 = 2¹ × 48787¹

Step-2: Prime Factorization of 97582

Prime factors of 97582 are 2, 97, 503. Prime factorization of 97582 in exponential form is:

97582 = 2¹ × 97¹ × 503¹

Step-3: Factors of 97574

List of positive integer factors of 97574 that divides 97574 without a remainder.

1, 2, 48787

Step-4: Factors of 97582

List of positive integer factors of 97582 that divides 97574 without a remainder.

1, 2, 97, 194, 503, 1006, 48791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97574 and 97582. The biggest common factor number is the GCF number.
So the greatest common factor 97574 and 97582 is 2.

Also check out the Least Common Multiple of 97574 and 97582