What is the Greatest Common Factor of 68038 and 68050?

Greatest common factor (GCF) of 68038 and 68050 is 2.

GCF(68038,68050) = 2

We will now calculate the prime factors of 68038 and 68050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68038 and 68050.

How to find the GCF of 68038 and 68050?

We will first find the prime factorization of 68038 and 68050. After we will calculate the factors of 68038 and 68050 and find the biggest common factor number .

Step-1: Prime Factorization of 68038

Prime factors of 68038 are 2, 34019. Prime factorization of 68038 in exponential form is:

68038 = 2¹ × 34019¹

Step-2: Prime Factorization of 68050

Prime factors of 68050 are 2, 5, 1361. Prime factorization of 68050 in exponential form is:

68050 = 2¹ × 5² × 1361¹

Step-3: Factors of 68038

List of positive integer factors of 68038 that divides 68038 without a remainder.

1, 2, 34019

Step-4: Factors of 68050

List of positive integer factors of 68050 that divides 68038 without a remainder.

1, 2, 5, 10, 25, 50, 1361, 2722, 6805, 13610, 34025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68038 and 68050. The biggest common factor number is the GCF number.
So the greatest common factor 68038 and 68050 is 2.

Also check out the Least Common Multiple of 68038 and 68050