What is the Greatest Common Factor of 97566 and 97574?

Greatest common factor (GCF) of 97566 and 97574 is 2.

GCF(97566,97574) = 2

We will now calculate the prime factors of 97566 and 97574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97566 and 97574.

How to find the GCF of 97566 and 97574?

We will first find the prime factorization of 97566 and 97574. After we will calculate the factors of 97566 and 97574 and find the biggest common factor number .

Step-1: Prime Factorization of 97566

Prime factors of 97566 are 2, 3, 7, 23, 101. Prime factorization of 97566 in exponential form is:

97566 = 2¹ × 3¹ × 7¹ × 23¹ × 101¹

Step-2: Prime Factorization of 97574

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

97574 = 2¹ × 48787¹

Step-3: Factors of 97566

List of positive integer factors of 97566 that divides 97566 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 101, 138, 161, 202, 303, 322, 483, 606, 707, 966, 1414, 2121, 2323, 4242, 4646, 6969, 13938, 16261, 32522, 48783

Step-4: Factors of 97574

List of positive integer factors of 97574 that divides 97566 without a remainder.

1, 2, 48787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97566 and 97574. The biggest common factor number is the GCF number.
So the greatest common factor 97566 and 97574 is 2.

Also check out the Least Common Multiple of 97566 and 97574