What is the Greatest Common Factor of 48496 and 48514?

Greatest common factor (GCF) of 48496 and 48514 is 2.

GCF(48496,48514) = 2

We will now calculate the prime factors of 48496 and 48514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48496 and 48514.

How to find the GCF of 48496 and 48514?

We will first find the prime factorization of 48496 and 48514. After we will calculate the factors of 48496 and 48514 and find the biggest common factor number .

Step-1: Prime Factorization of 48496

Prime factors of 48496 are 2, 7, 433. Prime factorization of 48496 in exponential form is:

48496 = 2⁴ × 7¹ × 433¹

Step-2: Prime Factorization of 48514

Prime factors of 48514 are 2, 127, 191. Prime factorization of 48514 in exponential form is:

48514 = 2¹ × 127¹ × 191¹

Step-3: Factors of 48496

List of positive integer factors of 48496 that divides 48496 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 433, 866, 1732, 3031, 3464, 6062, 6928, 12124, 24248

Step-4: Factors of 48514

List of positive integer factors of 48514 that divides 48496 without a remainder.

1, 2, 127, 191, 254, 382, 24257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48496 and 48514. The biggest common factor number is the GCF number.
So the greatest common factor 48496 and 48514 is 2.

Also check out the Least Common Multiple of 48496 and 48514