What is the Greatest Common Factor of 97370 and 97385?

Greatest common factor (GCF) of 97370 and 97385 is 5.

GCF(97370,97385) = 5

We will now calculate the prime factors of 97370 and 97385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97370 and 97385.

How to find the GCF of 97370 and 97385?

We will first find the prime factorization of 97370 and 97385. After we will calculate the factors of 97370 and 97385 and find the biggest common factor number .

Step-1: Prime Factorization of 97370

Prime factors of 97370 are 2, 5, 7, 13, 107. Prime factorization of 97370 in exponential form is:

97370 = 2¹ × 5¹ × 7¹ × 13¹ × 107¹

Step-2: Prime Factorization of 97385

Prime factors of 97385 are 5, 19477. Prime factorization of 97385 in exponential form is:

97385 = 5¹ × 19477¹

Step-3: Factors of 97370

List of positive integer factors of 97370 that divides 97370 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 107, 130, 182, 214, 455, 535, 749, 910, 1070, 1391, 1498, 2782, 3745, 6955, 7490, 9737, 13910, 19474, 48685

Step-4: Factors of 97385

List of positive integer factors of 97385 that divides 97370 without a remainder.

1, 5, 19477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97370 and 97385. The biggest common factor number is the GCF number.
So the greatest common factor 97370 and 97385 is 5.

Also check out the Least Common Multiple of 97370 and 97385