What is the Greatest Common Factor of 68040 and 68060?

Greatest common factor (GCF) of 68040 and 68060 is 20.

GCF(68040,68060) = 20

We will now calculate the prime factors of 68040 and 68060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68040 and 68060.

How to find the GCF of 68040 and 68060?

We will first find the prime factorization of 68040 and 68060. After we will calculate the factors of 68040 and 68060 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 68060

Prime factors of 68060 are 2, 5, 41, 83. Prime factorization of 68060 in exponential form is:

68060 = 2² × 5¹ × 41¹ × 83¹

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 68060

List of positive integer factors of 68060 that divides 68040 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 83, 164, 166, 205, 332, 410, 415, 820, 830, 1660, 3403, 6806, 13612, 17015, 34030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68040 and 68060. The biggest common factor number is the GCF number.
So the greatest common factor 68040 and 68060 is 20.

Also check out the Least Common Multiple of 68040 and 68060