What is the Greatest Common Factor of 68040 and 68055?

Greatest common factor (GCF) of 68040 and 68055 is 15.

GCF(68040,68055) = 15

We will now calculate the prime factors of 68040 and 68055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68040 and 68055.

How to find the GCF of 68040 and 68055?

We will first find the prime factorization of 68040 and 68055. After we will calculate the factors of 68040 and 68055 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68055

Prime factors of 68055 are 3, 5, 13, 349. Prime factorization of 68055 in exponential form is:

68055 = 3¹ × 5¹ × 13¹ × 349¹

Step-3: Factors of 68040

List of positive integer factors of 68040 that divides 68040 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

Step-4: Factors of 68055

List of positive integer factors of 68055 that divides 68040 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 349, 1047, 1745, 4537, 5235, 13611, 22685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68040 and 68055. The biggest common factor number is the GCF number.
So the greatest common factor 68040 and 68055 is 15.

Also check out the Least Common Multiple of 68040 and 68055