What is the Greatest Common Factor of 49000 and 49018?

Greatest common factor (GCF) of 49000 and 49018 is 2.

GCF(49000,49018) = 2

We will now calculate the prime factors of 49000 and 49018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49000 and 49018.

How to find the GCF of 49000 and 49018?

We will first find the prime factorization of 49000 and 49018. After we will calculate the factors of 49000 and 49018 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 49018

Prime factors of 49018 are 2, 24509. Prime factorization of 49018 in exponential form is:

49018 = 2¹ × 24509¹

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 49018

List of positive integer factors of 49018 that divides 49000 without a remainder.

1, 2, 24509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49000 and 49018. The biggest common factor number is the GCF number.
So the greatest common factor 49000 and 49018 is 2.

Also check out the Least Common Multiple of 49000 and 49018