What is the Greatest Common Factor of 97850 and 97854?

Greatest common factor (GCF) of 97850 and 97854 is 2.

GCF(97850,97854) = 2

We will now calculate the prime factors of 97850 and 97854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97850 and 97854.

How to find the GCF of 97850 and 97854?

We will first find the prime factorization of 97850 and 97854. After we will calculate the factors of 97850 and 97854 and find the biggest common factor number .

Step-1: Prime Factorization of 97850

Prime factors of 97850 are 2, 5, 19, 103. Prime factorization of 97850 in exponential form is:

97850 = 2¹ × 5² × 19¹ × 103¹

Step-2: Prime Factorization of 97854

Prime factors of 97854 are 2, 3, 47, 347. Prime factorization of 97854 in exponential form is:

97854 = 2¹ × 3¹ × 47¹ × 347¹

Step-3: Factors of 97850

List of positive integer factors of 97850 that divides 97850 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 103, 190, 206, 475, 515, 950, 1030, 1957, 2575, 3914, 5150, 9785, 19570, 48925

Step-4: Factors of 97854

List of positive integer factors of 97854 that divides 97850 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282, 347, 694, 1041, 2082, 16309, 32618, 48927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97850 and 97854. The biggest common factor number is the GCF number.
So the greatest common factor 97850 and 97854 is 2.

Also check out the Least Common Multiple of 97850 and 97854