What is the Greatest Common Factor of 49020 and 49029?

Greatest common factor (GCF) of 49020 and 49029 is 3.

GCF(49020,49029) = 3

We will now calculate the prime factors of 49020 and 49029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49020 and 49029.

How to find the GCF of 49020 and 49029?

We will first find the prime factorization of 49020 and 49029. After we will calculate the factors of 49020 and 49029 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 49029

Prime factors of 49029 are 3, 59, 277. Prime factorization of 49029 in exponential form is:

49029 = 3¹ × 59¹ × 277¹

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 49029

List of positive integer factors of 49029 that divides 49020 without a remainder.

1, 3, 59, 177, 277, 831, 16343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49020 and 49029. The biggest common factor number is the GCF number.
So the greatest common factor 49020 and 49029 is 3.

Also check out the Least Common Multiple of 49020 and 49029