What is the Greatest Common Factor of 97422 and 97438?

Greatest common factor (GCF) of 97422 and 97438 is 2.

GCF(97422,97438) = 2

We will now calculate the prime factors of 97422 and 97438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97422 and 97438.

How to find the GCF of 97422 and 97438?

We will first find the prime factorization of 97422 and 97438. After we will calculate the factors of 97422 and 97438 and find the biggest common factor number .

Step-1: Prime Factorization of 97422

Prime factors of 97422 are 2, 3, 13, 1249. Prime factorization of 97422 in exponential form is:

97422 = 2¹ × 3¹ × 13¹ × 1249¹

Step-2: Prime Factorization of 97438

Prime factors of 97438 are 2, 11, 43, 103. Prime factorization of 97438 in exponential form is:

97438 = 2¹ × 11¹ × 43¹ × 103¹

Step-3: Factors of 97422

List of positive integer factors of 97422 that divides 97422 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1249, 2498, 3747, 7494, 16237, 32474, 48711

Step-4: Factors of 97438

List of positive integer factors of 97438 that divides 97422 without a remainder.

1, 2, 11, 22, 43, 86, 103, 206, 473, 946, 1133, 2266, 4429, 8858, 48719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97422 and 97438. The biggest common factor number is the GCF number.
So the greatest common factor 97422 and 97438 is 2.

Also check out the Least Common Multiple of 97422 and 97438