What is the Greatest Common Factor of 97360 and 97377?

Greatest common factor (GCF) of 97360 and 97377 is 1.

GCF(97360,97377) = 1

We will now calculate the prime factors of 97360 and 97377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97360 and 97377.

How to find the GCF of 97360 and 97377?

We will first find the prime factorization of 97360 and 97377. After we will calculate the factors of 97360 and 97377 and find the biggest common factor number .

Step-1: Prime Factorization of 97360

Prime factors of 97360 are 2, 5, 1217. Prime factorization of 97360 in exponential form is:

97360 = 2⁴ × 5¹ × 1217¹

Step-2: Prime Factorization of 97377

Prime factors of 97377 are 3, 7, 4637. Prime factorization of 97377 in exponential form is:

97377 = 3¹ × 7¹ × 4637¹

Step-3: Factors of 97360

List of positive integer factors of 97360 that divides 97360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1217, 2434, 4868, 6085, 9736, 12170, 19472, 24340, 48680

Step-4: Factors of 97377

List of positive integer factors of 97377 that divides 97360 without a remainder.

1, 3, 7, 21, 4637, 13911, 32459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97360 and 97377. The biggest common factor number is the GCF number.
So the greatest common factor 97360 and 97377 is 1.

Also check out the Least Common Multiple of 97360 and 97377