What is the Greatest Common Factor of 49001 and 49020?

Greatest common factor (GCF) of 49001 and 49020 is 19.

GCF(49001,49020) = 19

We will now calculate the prime factors of 49001 and 49020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49001 and 49020.

How to find the GCF of 49001 and 49020?

We will first find the prime factorization of 49001 and 49020. After we will calculate the factors of 49001 and 49020 and find the biggest common factor number .

Step-1: Prime Factorization of 49001

Prime factors of 49001 are 19, 2579. Prime factorization of 49001 in exponential form is:

49001 = 19¹ × 2579¹

Step-2: Prime Factorization of 49020

Prime factors of 49020 are 2, 3, 5, 19, 43. Prime factorization of 49020 in exponential form is:

49020 = 2² × 3¹ × 5¹ × 19¹ × 43¹

Step-3: Factors of 49001

List of positive integer factors of 49001 that divides 49001 without a remainder.

1, 19, 2579

Step-4: Factors of 49020

List of positive integer factors of 49020 that divides 49001 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 43, 57, 60, 76, 86, 95, 114, 129, 172, 190, 215, 228, 258, 285, 380, 430, 516, 570, 645, 817, 860, 1140, 1290, 1634, 2451, 2580, 3268, 4085, 4902, 8170, 9804, 12255, 16340, 24510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49001 and 49020. The biggest common factor number is the GCF number.
So the greatest common factor 49001 and 49020 is 19.

Also check out the Least Common Multiple of 49001 and 49020