What is the Greatest Common Factor of 68025 and 68040?

Greatest common factor (GCF) of 68025 and 68040 is 15.

GCF(68025,68040) = 15

We will now calculate the prime factors of 68025 and 68040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68025 and 68040.

How to find the GCF of 68025 and 68040?

We will first find the prime factorization of 68025 and 68040. After we will calculate the factors of 68025 and 68040 and find the biggest common factor number .

Step-1: Prime Factorization of 68025

Prime factors of 68025 are 3, 5, 907. Prime factorization of 68025 in exponential form is:

68025 = 3¹ × 5² × 907¹

Step-2: Prime Factorization of 68040

Prime factors of 68040 are 2, 3, 5, 7. Prime factorization of 68040 in exponential form is:

68040 = 2³ × 3⁵ × 5¹ × 7¹

Step-3: Factors of 68025

List of positive integer factors of 68025 that divides 68025 without a remainder.

1, 3, 5, 15, 25, 75, 907, 2721, 4535, 13605, 22675

Step-4: Factors of 68040

List of positive integer factors of 68040 that divides 68025 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 81, 84, 90, 105, 108, 120, 126, 135, 140, 162, 168, 180, 189, 210, 216, 243, 252, 270, 280, 315, 324, 360, 378, 405, 420, 486, 504, 540, 567, 630, 648, 756, 810, 840, 945, 972, 1080, 1134, 1215, 1260, 1512, 1620, 1701, 1890, 1944, 2268, 2430, 2520, 2835, 3240, 3402, 3780, 4536, 4860, 5670, 6804, 7560, 8505, 9720, 11340, 13608, 17010, 22680, 34020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68025 and 68040. The biggest common factor number is the GCF number.
So the greatest common factor 68025 and 68040 is 15.

Also check out the Least Common Multiple of 68025 and 68040