What is the Greatest Common Factor of 49150 and 49155?

Greatest common factor (GCF) of 49150 and 49155 is 5.

GCF(49150,49155) = 5

We will now calculate the prime factors of 49150 and 49155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49150 and 49155.

How to find the GCF of 49150 and 49155?

We will first find the prime factorization of 49150 and 49155. After we will calculate the factors of 49150 and 49155 and find the biggest common factor number .

Step-1: Prime Factorization of 49150

Prime factors of 49150 are 2, 5, 983. Prime factorization of 49150 in exponential form is:

49150 = 2¹ × 5² × 983¹

Step-2: Prime Factorization of 49155

Prime factors of 49155 are 3, 5, 29, 113. Prime factorization of 49155 in exponential form is:

49155 = 3¹ × 5¹ × 29¹ × 113¹

Step-3: Factors of 49150

List of positive integer factors of 49150 that divides 49150 without a remainder.

1, 2, 5, 10, 25, 50, 983, 1966, 4915, 9830, 24575

Step-4: Factors of 49155

List of positive integer factors of 49155 that divides 49150 without a remainder.

1, 3, 5, 15, 29, 87, 113, 145, 339, 435, 565, 1695, 3277, 9831, 16385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49150 and 49155. The biggest common factor number is the GCF number.
So the greatest common factor 49150 and 49155 is 5.

Also check out the Least Common Multiple of 49150 and 49155