What is the Greatest Common Factor of 49970 and 49985?

Greatest common factor (GCF) of 49970 and 49985 is 5.

GCF(49970,49985) = 5

We will now calculate the prime factors of 49970 and 49985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49970 and 49985.

How to find the GCF of 49970 and 49985?

We will first find the prime factorization of 49970 and 49985. After we will calculate the factors of 49970 and 49985 and find the biggest common factor number .

Step-1: Prime Factorization of 49970

Prime factors of 49970 are 2, 5, 19, 263. Prime factorization of 49970 in exponential form is:

49970 = 2¹ × 5¹ × 19¹ × 263¹

Step-2: Prime Factorization of 49985

Prime factors of 49985 are 5, 13, 769. Prime factorization of 49985 in exponential form is:

49985 = 5¹ × 13¹ × 769¹

Step-3: Factors of 49970

List of positive integer factors of 49970 that divides 49970 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 263, 526, 1315, 2630, 4997, 9994, 24985

Step-4: Factors of 49985

List of positive integer factors of 49985 that divides 49970 without a remainder.

1, 5, 13, 65, 769, 3845, 9997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49970 and 49985. The biggest common factor number is the GCF number.
So the greatest common factor 49970 and 49985 is 5.

Also check out the Least Common Multiple of 49970 and 49985