What is the Greatest Common Factor of 48568 and 48574?

Greatest common factor (GCF) of 48568 and 48574 is 2.

GCF(48568,48574) = 2

We will now calculate the prime factors of 48568 and 48574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48568 and 48574.

How to find the GCF of 48568 and 48574?

We will first find the prime factorization of 48568 and 48574. After we will calculate the factors of 48568 and 48574 and find the biggest common factor number .

Step-1: Prime Factorization of 48568

Prime factors of 48568 are 2, 13, 467. Prime factorization of 48568 in exponential form is:

48568 = 2³ × 13¹ × 467¹

Step-2: Prime Factorization of 48574

Prime factors of 48574 are 2, 149, 163. Prime factorization of 48574 in exponential form is:

48574 = 2¹ × 149¹ × 163¹

Step-3: Factors of 48568

List of positive integer factors of 48568 that divides 48568 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 467, 934, 1868, 3736, 6071, 12142, 24284

Step-4: Factors of 48574

List of positive integer factors of 48574 that divides 48568 without a remainder.

1, 2, 149, 163, 298, 326, 24287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48568 and 48574. The biggest common factor number is the GCF number.
So the greatest common factor 48568 and 48574 is 2.

Also check out the Least Common Multiple of 48568 and 48574