What is the Greatest Common Factor of 49000 and 49016?

Greatest common factor (GCF) of 49000 and 49016 is 8.

GCF(49000,49016) = 8

We will now calculate the prime factors of 49000 and 49016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49000 and 49016.

How to find the GCF of 49000 and 49016?

We will first find the prime factorization of 49000 and 49016. After we will calculate the factors of 49000 and 49016 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49016

Prime factors of 49016 are 2, 11, 557. Prime factorization of 49016 in exponential form is:

49016 = 2³ × 11¹ × 557¹

Step-3: Factors of 49000

List of positive integer factors of 49000 that divides 49000 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

Step-4: Factors of 49016

List of positive integer factors of 49016 that divides 49000 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 557, 1114, 2228, 4456, 6127, 12254, 24508

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49000 and 49016. The biggest common factor number is the GCF number.
So the greatest common factor 49000 and 49016 is 8.

Also check out the Least Common Multiple of 49000 and 49016