What is the Greatest Common Factor of 68535 and 68550?

Greatest common factor (GCF) of 68535 and 68550 is 15.

GCF(68535,68550) = 15

We will now calculate the prime factors of 68535 and 68550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68535 and 68550.

How to find the GCF of 68535 and 68550?

We will first find the prime factorization of 68535 and 68550. After we will calculate the factors of 68535 and 68550 and find the biggest common factor number .

Step-1: Prime Factorization of 68535

Prime factors of 68535 are 3, 5, 1523. Prime factorization of 68535 in exponential form is:

68535 = 3² × 5¹ × 1523¹

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 68535

List of positive integer factors of 68535 that divides 68535 without a remainder.

1, 3, 5, 9, 15, 45, 1523, 4569, 7615, 13707, 22845

Step-4: Factors of 68550

List of positive integer factors of 68550 that divides 68535 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 68535 and 68550. The biggest common factor number is the GCF number.
So the greatest common factor 68535 and 68550 is 15.

Also check out the Least Common Multiple of 68535 and 68550