What is the Greatest Common Factor of 68538 and 68550?

Greatest common factor (GCF) of 68538 and 68550 is 6.

GCF(68538,68550) = 6

We will now calculate the prime factors of 68538 and 68550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68538 and 68550.

How to find the GCF of 68538 and 68550?

We will first find the prime factorization of 68538 and 68550. After we will calculate the factors of 68538 and 68550 and find the biggest common factor number .

Step-1: Prime Factorization of 68538

Prime factors of 68538 are 2, 3, 11423. Prime factorization of 68538 in exponential form is:

68538 = 2¹ × 3¹ × 11423¹

Step-2: Prime Factorization of 68550

Prime factors of 68550 are 2, 3, 5, 457. Prime factorization of 68550 in exponential form is:

68550 = 2¹ × 3¹ × 5² × 457¹

Step-3: Factors of 68538

List of positive integer factors of 68538 that divides 68538 without a remainder.

1, 2, 3, 6, 11423, 22846, 34269

Step-4: Factors of 68550

List of positive integer factors of 68550 that divides 68538 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 457, 914, 1371, 2285, 2742, 4570, 6855, 11425, 13710, 22850, 34275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68538 and 68550. The biggest common factor number is the GCF number.
So the greatest common factor 68538 and 68550 is 6.

Also check out the Least Common Multiple of 68538 and 68550