What is the Greatest Common Factor of 49020 and 49030?

Greatest common factor (GCF) of 49020 and 49030 is 10.

GCF(49020,49030) = 10

We will now calculate the prime factors of 49020 and 49030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49020 and 49030.

How to find the GCF of 49020 and 49030?

We will first find the prime factorization of 49020 and 49030. After we will calculate the factors of 49020 and 49030 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 49030

Prime factors of 49030 are 2, 5, 4903. Prime factorization of 49030 in exponential form is:

49030 = 2¹ × 5¹ × 4903¹

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 49030

List of positive integer factors of 49030 that divides 49020 without a remainder.

1, 2, 5, 10, 4903, 9806, 24515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49020 and 49030. The biggest common factor number is the GCF number.
So the greatest common factor 49020 and 49030 is 10.

Also check out the Least Common Multiple of 49020 and 49030