What is the Greatest Common Factor of 67538 and 67550?

Greatest common factor (GCF) of 67538 and 67550 is 2.

GCF(67538,67550) = 2

We will now calculate the prime factors of 67538 and 67550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67538 and 67550.

How to find the GCF of 67538 and 67550?

We will first find the prime factorization of 67538 and 67550. After we will calculate the factors of 67538 and 67550 and find the biggest common factor number .

Step-1: Prime Factorization of 67538

Prime factors of 67538 are 2, 33769. Prime factorization of 67538 in exponential form is:

67538 = 2¹ × 33769¹

Step-2: Prime Factorization of 67550

Prime factors of 67550 are 2, 5, 7, 193. Prime factorization of 67550 in exponential form is:

67550 = 2¹ × 5² × 7¹ × 193¹

Step-3: Factors of 67538

List of positive integer factors of 67538 that divides 67538 without a remainder.

1, 2, 33769

Step-4: Factors of 67550

List of positive integer factors of 67550 that divides 67538 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 193, 350, 386, 965, 1351, 1930, 2702, 4825, 6755, 9650, 13510, 33775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67538 and 67550. The biggest common factor number is the GCF number.
So the greatest common factor 67538 and 67550 is 2.

Also check out the Least Common Multiple of 67538 and 67550