What is the Greatest Common Factor of 68435 and 68450?

Greatest common factor (GCF) of 68435 and 68450 is 5.

GCF(68435,68450) = 5

We will now calculate the prime factors of 68435 and 68450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68435 and 68450.

How to find the GCF of 68435 and 68450?

We will first find the prime factorization of 68435 and 68450. After we will calculate the factors of 68435 and 68450 and find the biggest common factor number .

Step-1: Prime Factorization of 68435

Prime factors of 68435 are 5, 13687. Prime factorization of 68435 in exponential form is:

68435 = 5¹ × 13687¹

Step-2: Prime Factorization of 68450

Prime factors of 68450 are 2, 5, 37. Prime factorization of 68450 in exponential form is:

68450 = 2¹ × 5² × 37²

Step-3: Factors of 68435

List of positive integer factors of 68435 that divides 68435 without a remainder.

1, 5, 13687

Step-4: Factors of 68450

List of positive integer factors of 68450 that divides 68435 without a remainder.

1, 2, 5, 10, 25, 37, 50, 74, 185, 370, 925, 1369, 1850, 2738, 6845, 13690, 34225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68435 and 68450. The biggest common factor number is the GCF number.
So the greatest common factor 68435 and 68450 is 5.

Also check out the Least Common Multiple of 68435 and 68450