What is the Greatest Common Factor of 97041 and 97050?

Greatest common factor (GCF) of 97041 and 97050 is 3.

GCF(97041,97050) = 3

We will now calculate the prime factors of 97041 and 97050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97041 and 97050.

How to find the GCF of 97041 and 97050?

We will first find the prime factorization of 97041 and 97050. After we will calculate the factors of 97041 and 97050 and find the biggest common factor number .

Step-1: Prime Factorization of 97041

Prime factors of 97041 are 3, 7, 4621. Prime factorization of 97041 in exponential form is:

97041 = 3¹ × 7¹ × 4621¹

Step-2: 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-3: Factors of 97041

List of positive integer factors of 97041 that divides 97041 without a remainder.

1, 3, 7, 21, 4621, 13863, 32347

Step-4: Factors of 97050

List of positive integer factors of 97050 that divides 97041 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97041 and 97050. The biggest common factor number is the GCF number.
So the greatest common factor 97041 and 97050 is 3.

Also check out the Least Common Multiple of 97041 and 97050