What is the Greatest Common Factor of 97040 and 97048?

Greatest common factor (GCF) of 97040 and 97048 is 8.

GCF(97040,97048) = 8

We will now calculate the prime factors of 97040 and 97048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97040 and 97048.

How to find the GCF of 97040 and 97048?

We will first find the prime factorization of 97040 and 97048. After we will calculate the factors of 97040 and 97048 and find the biggest common factor number .

Step-1: Prime Factorization of 97040

Prime factors of 97040 are 2, 5, 1213. Prime factorization of 97040 in exponential form is:

97040 = 2⁴ × 5¹ × 1213¹

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 97040

List of positive integer factors of 97040 that divides 97040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1213, 2426, 4852, 6065, 9704, 12130, 19408, 24260, 48520

Step-4: Factors of 97048

List of positive integer factors of 97048 that divides 97040 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 97040 and 97048. The biggest common factor number is the GCF number.
So the greatest common factor 97040 and 97048 is 8.

Also check out the Least Common Multiple of 97040 and 97048