What is the Greatest Common Factor of 97538 and 97544?

Greatest common factor (GCF) of 97538 and 97544 is 2.

GCF(97538,97544) = 2

We will now calculate the prime factors of 97538 and 97544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97538 and 97544.

How to find the GCF of 97538 and 97544?

We will first find the prime factorization of 97538 and 97544. After we will calculate the factors of 97538 and 97544 and find the biggest common factor number .

Step-1: Prime Factorization of 97538

Prime factors of 97538 are 2, 7, 6967. Prime factorization of 97538 in exponential form is:

97538 = 2¹ × 7¹ × 6967¹

Step-2: Prime Factorization of 97544

Prime factors of 97544 are 2, 89, 137. Prime factorization of 97544 in exponential form is:

97544 = 2³ × 89¹ × 137¹

Step-3: Factors of 97538

List of positive integer factors of 97538 that divides 97538 without a remainder.

1, 2, 7, 14, 6967, 13934, 48769

Step-4: Factors of 97544

List of positive integer factors of 97544 that divides 97538 without a remainder.

1, 2, 4, 8, 89, 137, 178, 274, 356, 548, 712, 1096, 12193, 24386, 48772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97538 and 97544. The biggest common factor number is the GCF number.
So the greatest common factor 97538 and 97544 is 2.

Also check out the Least Common Multiple of 97538 and 97544