What is the Greatest Common Factor of 49000 and 49004?

Greatest common factor (GCF) of 49000 and 49004 is 4.

GCF(49000,49004) = 4

We will now calculate the prime factors of 49000 and 49004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49000 and 49004.

How to find the GCF of 49000 and 49004?

We will first find the prime factorization of 49000 and 49004. After we will calculate the factors of 49000 and 49004 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 49004

Prime factors of 49004 are 2, 12251. Prime factorization of 49004 in exponential form is:

49004 = 2² × 12251¹

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 49004

List of positive integer factors of 49004 that divides 49000 without a remainder.

1, 2, 4, 12251, 24502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49000 and 49004. The biggest common factor number is the GCF number.
So the greatest common factor 49000 and 49004 is 4.

Also check out the Least Common Multiple of 49000 and 49004