What is the Greatest Common Factor of 49020 and 49035?

Greatest common factor (GCF) of 49020 and 49035 is 15.

GCF(49020,49035) = 15

We will now calculate the prime factors of 49020 and 49035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49020 and 49035.

How to find the GCF of 49020 and 49035?

We will first find the prime factorization of 49020 and 49035. After we will calculate the factors of 49020 and 49035 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 49035

Prime factors of 49035 are 3, 5, 7, 467. Prime factorization of 49035 in exponential form is:

49035 = 3¹ × 5¹ × 7¹ × 467¹

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 49035

List of positive integer factors of 49035 that divides 49020 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 467, 1401, 2335, 3269, 7005, 9807, 16345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49020 and 49035. The biggest common factor number is the GCF number.
So the greatest common factor 49020 and 49035 is 15.

Also check out the Least Common Multiple of 49020 and 49035