What is the Greatest Common Factor of 49000 and 49011?

Greatest common factor (GCF) of 49000 and 49011 is 1.

GCF(49000,49011) = 1

We will now calculate the prime factors of 49000 and 49011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49000 and 49011.

How to find the GCF of 49000 and 49011?

We will first find the prime factorization of 49000 and 49011. After we will calculate the factors of 49000 and 49011 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 49011

Prime factors of 49011 are 3, 17, 31. Prime factorization of 49011 in exponential form is:

49011 = 3¹ × 17¹ × 31²

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 49011

List of positive integer factors of 49011 that divides 49000 without a remainder.

1, 3, 17, 31, 51, 93, 527, 961, 1581, 2883, 16337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49000 and 49011. The biggest common factor number is the GCF number.
So the greatest common factor 49000 and 49011 is 1.

Also check out the Least Common Multiple of 49000 and 49011