What is the Greatest Common Factor of 49020 and 49039?

Greatest common factor (GCF) of 49020 and 49039 is 19.

GCF(49020,49039) = 19

We will now calculate the prime factors of 49020 and 49039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49020 and 49039.

How to find the GCF of 49020 and 49039?

We will first find the prime factorization of 49020 and 49039. After we will calculate the factors of 49020 and 49039 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49039

Prime factors of 49039 are 19, 29, 89. Prime factorization of 49039 in exponential form is:

49039 = 19¹ × 29¹ × 89¹

Step-3: Factors of 49020

List of positive integer factors of 49020 that divides 49020 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

Step-4: Factors of 49039

List of positive integer factors of 49039 that divides 49020 without a remainder.

1, 19, 29, 89, 551, 1691, 2581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49020 and 49039. The biggest common factor number is the GCF number.
So the greatest common factor 49020 and 49039 is 19.

Also check out the Least Common Multiple of 49020 and 49039