What is the Greatest Common Factor of 42840 and 42848?

Greatest common factor (GCF) of 42840 and 42848 is 8.

GCF(42840,42848) = 8

We will now calculate the prime factors of 42840 and 42848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42840 and 42848.

How to find the GCF of 42840 and 42848?

We will first find the prime factorization of 42840 and 42848. After we will calculate the factors of 42840 and 42848 and find the biggest common factor number .

Step-1: Prime Factorization of 42840

Prime factors of 42840 are 2, 3, 5, 7, 17. Prime factorization of 42840 in exponential form is:

42840 = 2³ × 3² × 5¹ × 7¹ × 17¹

Step-2: Prime Factorization of 42848

Prime factors of 42848 are 2, 13, 103. Prime factorization of 42848 in exponential form is:

42848 = 2⁵ × 13¹ × 103¹

Step-3: Factors of 42840

List of positive integer factors of 42840 that divides 42840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 17, 18, 20, 21, 24, 28, 30, 34, 35, 36, 40, 42, 45, 51, 56, 60, 63, 68, 70, 72, 84, 85, 90, 102, 105, 119, 120, 126, 136, 140, 153, 168, 170, 180, 204, 210, 238, 252, 255, 280, 306, 315, 340, 357, 360, 408, 420, 476, 504, 510, 595, 612, 630, 680, 714, 765, 840, 952, 1020, 1071, 1190, 1224, 1260, 1428, 1530, 1785, 2040, 2142, 2380, 2520, 2856, 3060, 3570, 4284, 4760, 5355, 6120, 7140, 8568, 10710, 14280, 21420

Step-4: Factors of 42848

List of positive integer factors of 42848 that divides 42840 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 103, 104, 206, 208, 412, 416, 824, 1339, 1648, 2678, 3296, 5356, 10712, 21424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42840 and 42848. The biggest common factor number is the GCF number.
So the greatest common factor 42840 and 42848 is 8.

Also check out the Least Common Multiple of 42840 and 42848