What is the Greatest Common Factor of 68040 and 68045?

Greatest common factor (GCF) of 68040 and 68045 is 5.

GCF(68040,68045) = 5

We will now calculate the prime factors of 68040 and 68045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68040 and 68045.

How to find the GCF of 68040 and 68045?

We will first find the prime factorization of 68040 and 68045. After we will calculate the factors of 68040 and 68045 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 68045

Prime factors of 68045 are 5, 31, 439. Prime factorization of 68045 in exponential form is:

68045 = 5¹ × 31¹ × 439¹

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 68045

List of positive integer factors of 68045 that divides 68040 without a remainder.

1, 5, 31, 155, 439, 2195, 13609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68040 and 68045. The biggest common factor number is the GCF number.
So the greatest common factor 68040 and 68045 is 5.

Also check out the Least Common Multiple of 68040 and 68045