What is the Greatest Common Factor of 49000 and 49019?

Greatest common factor (GCF) of 49000 and 49019 is 1.

GCF(49000,49019) = 1

We will now calculate the prime factors of 49000 and 49019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49000 and 49019.

How to find the GCF of 49000 and 49019?

We will first find the prime factorization of 49000 and 49019. After we will calculate the factors of 49000 and 49019 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 49019

Prime factors of 49019 are 49019. Prime factorization of 49019 in exponential form is:

49019 = 49019¹

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 49019

List of positive integer factors of 49019 that divides 49000 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49000 and 49019. The biggest common factor number is the GCF number.
So the greatest common factor 49000 and 49019 is 1.

Also check out the Least Common Multiple of 49000 and 49019