What is the Greatest Common Factor of 97074 and 97083?

Greatest common factor (GCF) of 97074 and 97083 is 9.

GCF(97074,97083) = 9

We will now calculate the prime factors of 97074 and 97083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97074 and 97083.

How to find the GCF of 97074 and 97083?

We will first find the prime factorization of 97074 and 97083. After we will calculate the factors of 97074 and 97083 and find the biggest common factor number .

Step-1: Prime Factorization of 97074

Prime factors of 97074 are 2, 3, 5393. Prime factorization of 97074 in exponential form is:

97074 = 2¹ × 3² × 5393¹

Step-2: Prime Factorization of 97083

Prime factors of 97083 are 3, 7, 23, 67. Prime factorization of 97083 in exponential form is:

97083 = 3² × 7¹ × 23¹ × 67¹

Step-3: Factors of 97074

List of positive integer factors of 97074 that divides 97074 without a remainder.

1, 2, 3, 6, 9, 18, 5393, 10786, 16179, 32358, 48537

Step-4: Factors of 97083

List of positive integer factors of 97083 that divides 97074 without a remainder.

1, 3, 7, 9, 21, 23, 63, 67, 69, 161, 201, 207, 469, 483, 603, 1407, 1449, 1541, 4221, 4623, 10787, 13869, 32361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97074 and 97083. The biggest common factor number is the GCF number.
So the greatest common factor 97074 and 97083 is 9.

Also check out the Least Common Multiple of 97074 and 97083