What is the Greatest Common Factor of 29950 and 29965?

Greatest common factor (GCF) of 29950 and 29965 is 5.

GCF(29950,29965) = 5

We will now calculate the prime factors of 29950 and 29965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29950 and 29965.

How to find the GCF of 29950 and 29965?

We will first find the prime factorization of 29950 and 29965. After we will calculate the factors of 29950 and 29965 and find the biggest common factor number .

Step-1: Prime Factorization of 29950

Prime factors of 29950 are 2, 5, 599. Prime factorization of 29950 in exponential form is:

29950 = 2¹ × 5² × 599¹

Step-2: Prime Factorization of 29965

Prime factors of 29965 are 5, 13, 461. Prime factorization of 29965 in exponential form is:

29965 = 5¹ × 13¹ × 461¹

Step-3: Factors of 29950

List of positive integer factors of 29950 that divides 29950 without a remainder.

1, 2, 5, 10, 25, 50, 599, 1198, 2995, 5990, 14975

Step-4: Factors of 29965

List of positive integer factors of 29965 that divides 29950 without a remainder.

1, 5, 13, 65, 461, 2305, 5993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29950 and 29965. The biggest common factor number is the GCF number.
So the greatest common factor 29950 and 29965 is 5.

Also check out the Least Common Multiple of 29950 and 29965