What is the Greatest Common Factor of 97050 and 97059?

Greatest common factor (GCF) of 97050 and 97059 is 3.

GCF(97050,97059) = 3

We will now calculate the prime factors of 97050 and 97059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97050 and 97059.

How to find the GCF of 97050 and 97059?

We will first find the prime factorization of 97050 and 97059. After we will calculate the factors of 97050 and 97059 and find the biggest common factor number .

Step-1: Prime Factorization of 97050

Prime factors of 97050 are 2, 3, 5, 647. Prime factorization of 97050 in exponential form is:

97050 = 2¹ × 3¹ × 5² × 647¹

Step-2: Prime Factorization of 97059

Prime factors of 97059 are 3, 32353. Prime factorization of 97059 in exponential form is:

97059 = 3¹ × 32353¹

Step-3: Factors of 97050

List of positive integer factors of 97050 that divides 97050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 647, 1294, 1941, 3235, 3882, 6470, 9705, 16175, 19410, 32350, 48525

Step-4: Factors of 97059

List of positive integer factors of 97059 that divides 97050 without a remainder.

1, 3, 32353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97050 and 97059. The biggest common factor number is the GCF number.
So the greatest common factor 97050 and 97059 is 3.

Also check out the Least Common Multiple of 97050 and 97059