What is the Greatest Common Factor of 97034 and 97048?

Greatest common factor (GCF) of 97034 and 97048 is 14.

GCF(97034,97048) = 14

We will now calculate the prime factors of 97034 and 97048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97034 and 97048.

How to find the GCF of 97034 and 97048?

We will first find the prime factorization of 97034 and 97048. After we will calculate the factors of 97034 and 97048 and find the biggest common factor number .

Step-1: Prime Factorization of 97034

Prime factors of 97034 are 2, 7, 29, 239. Prime factorization of 97034 in exponential form is:

97034 = 2¹ × 7¹ × 29¹ × 239¹

Step-2: Prime Factorization of 97048

Prime factors of 97048 are 2, 7, 1733. Prime factorization of 97048 in exponential form is:

97048 = 2³ × 7¹ × 1733¹

Step-3: Factors of 97034

List of positive integer factors of 97034 that divides 97034 without a remainder.

1, 2, 7, 14, 29, 58, 203, 239, 406, 478, 1673, 3346, 6931, 13862, 48517

Step-4: Factors of 97048

List of positive integer factors of 97048 that divides 97034 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1733, 3466, 6932, 12131, 13864, 24262, 48524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97034 and 97048. The biggest common factor number is the GCF number.
So the greatest common factor 97034 and 97048 is 14.

Also check out the Least Common Multiple of 97034 and 97048