What is the Greatest Common Factor of 49970 and 49975?

Greatest common factor (GCF) of 49970 and 49975 is 5.

GCF(49970,49975) = 5

We will now calculate the prime factors of 49970 and 49975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49970 and 49975.

How to find the GCF of 49970 and 49975?

We will first find the prime factorization of 49970 and 49975. After we will calculate the factors of 49970 and 49975 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 49975

Prime factors of 49975 are 5, 1999. Prime factorization of 49975 in exponential form is:

49975 = 5² × 1999¹

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 49975

List of positive integer factors of 49975 that divides 49970 without a remainder.

1, 5, 25, 1999, 9995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49970 and 49975. The biggest common factor number is the GCF number.
So the greatest common factor 49970 and 49975 is 5.

Also check out the Least Common Multiple of 49970 and 49975