What is the Greatest Common Factor of 49945 and 49950?

Greatest common factor (GCF) of 49945 and 49950 is 5.

GCF(49945,49950) = 5

We will now calculate the prime factors of 49945 and 49950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49945 and 49950.

How to find the GCF of 49945 and 49950?

We will first find the prime factorization of 49945 and 49950. After we will calculate the factors of 49945 and 49950 and find the biggest common factor number .

Step-1: Prime Factorization of 49945

Prime factors of 49945 are 5, 7, 1427. Prime factorization of 49945 in exponential form is:

49945 = 5¹ × 7¹ × 1427¹

Step-2: Prime Factorization of 49950

Prime factors of 49950 are 2, 3, 5, 37. Prime factorization of 49950 in exponential form is:

49950 = 2¹ × 3³ × 5² × 37¹

Step-3: Factors of 49945

List of positive integer factors of 49945 that divides 49945 without a remainder.

1, 5, 7, 35, 1427, 7135, 9989

Step-4: Factors of 49950

List of positive integer factors of 49950 that divides 49945 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 37, 45, 50, 54, 74, 75, 90, 111, 135, 150, 185, 222, 225, 270, 333, 370, 450, 555, 666, 675, 925, 999, 1110, 1350, 1665, 1850, 1998, 2775, 3330, 4995, 5550, 8325, 9990, 16650, 24975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49945 and 49950. The biggest common factor number is the GCF number.
So the greatest common factor 49945 and 49950 is 5.

Also check out the Least Common Multiple of 49945 and 49950