What is the Greatest Common Factor of 68625 and 68642?

Greatest common factor (GCF) of 68625 and 68642 is 1.

GCF(68625,68642) = 1

We will now calculate the prime factors of 68625 and 68642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68625 and 68642.

How to find the GCF of 68625 and 68642?

We will first find the prime factorization of 68625 and 68642. After we will calculate the factors of 68625 and 68642 and find the biggest common factor number .

Step-1: Prime Factorization of 68625

Prime factors of 68625 are 3, 5, 61. Prime factorization of 68625 in exponential form is:

68625 = 3² × 5³ × 61¹

Step-2: Prime Factorization of 68642

Prime factors of 68642 are 2, 7, 4903. Prime factorization of 68642 in exponential form is:

68642 = 2¹ × 7¹ × 4903¹

Step-3: Factors of 68625

List of positive integer factors of 68625 that divides 68625 without a remainder.

1, 3, 5, 9, 15, 25, 45, 61, 75, 125, 183, 225, 305, 375, 549, 915, 1125, 1525, 2745, 4575, 7625, 13725, 22875

Step-4: Factors of 68642

List of positive integer factors of 68642 that divides 68625 without a remainder.

1, 2, 7, 14, 4903, 9806, 34321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68625 and 68642. The biggest common factor number is the GCF number.
So the greatest common factor 68625 and 68642 is 1.

Also check out the Least Common Multiple of 68625 and 68642