What is the Greatest Common Factor of 48992 and 49000?

Greatest common factor (GCF) of 48992 and 49000 is 8.

GCF(48992,49000) = 8

We will now calculate the prime factors of 48992 and 49000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48992 and 49000.

How to find the GCF of 48992 and 49000?

We will first find the prime factorization of 48992 and 49000. After we will calculate the factors of 48992 and 49000 and find the biggest common factor number .

Step-1: Prime Factorization of 48992

Prime factors of 48992 are 2, 1531. Prime factorization of 48992 in exponential form is:

48992 = 2⁵ × 1531¹

Step-2: Prime Factorization of 49000

Prime factors of 49000 are 2, 5, 7. Prime factorization of 49000 in exponential form is:

49000 = 2³ × 5³ × 7²

Step-3: Factors of 48992

List of positive integer factors of 48992 that divides 48992 without a remainder.

1, 2, 4, 8, 16, 32, 1531, 3062, 6124, 12248, 24496

Step-4: Factors of 49000

List of positive integer factors of 49000 that divides 48992 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 125, 140, 175, 196, 200, 245, 250, 280, 350, 392, 490, 500, 700, 875, 980, 1000, 1225, 1400, 1750, 1960, 2450, 3500, 4900, 6125, 7000, 9800, 12250, 24500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48992 and 49000. The biggest common factor number is the GCF number.
So the greatest common factor 48992 and 49000 is 8.

Also check out the Least Common Multiple of 48992 and 49000