What is the Greatest Common Factor of 97340 and 97352?

Greatest common factor (GCF) of 97340 and 97352 is 4.

GCF(97340,97352) = 4

We will now calculate the prime factors of 97340 and 97352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97340 and 97352.

How to find the GCF of 97340 and 97352?

We will first find the prime factorization of 97340 and 97352. After we will calculate the factors of 97340 and 97352 and find the biggest common factor number .

Step-1: Prime Factorization of 97340

Prime factors of 97340 are 2, 5, 31, 157. Prime factorization of 97340 in exponential form is:

97340 = 2² × 5¹ × 31¹ × 157¹

Step-2: Prime Factorization of 97352

Prime factors of 97352 are 2, 43, 283. Prime factorization of 97352 in exponential form is:

97352 = 2³ × 43¹ × 283¹

Step-3: Factors of 97340

List of positive integer factors of 97340 that divides 97340 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 157, 310, 314, 620, 628, 785, 1570, 3140, 4867, 9734, 19468, 24335, 48670

Step-4: Factors of 97352

List of positive integer factors of 97352 that divides 97340 without a remainder.

1, 2, 4, 8, 43, 86, 172, 283, 344, 566, 1132, 2264, 12169, 24338, 48676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97340 and 97352. The biggest common factor number is the GCF number.
So the greatest common factor 97340 and 97352 is 4.

Also check out the Least Common Multiple of 97340 and 97352