What is the Greatest Common Factor of 42820 and 42840?

Greatest common factor (GCF) of 42820 and 42840 is 20.

GCF(42820,42840) = 20

We will now calculate the prime factors of 42820 and 42840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42820 and 42840.

How to find the GCF of 42820 and 42840?

We will first find the prime factorization of 42820 and 42840. After we will calculate the factors of 42820 and 42840 and find the biggest common factor number .

Step-1: Prime Factorization of 42820

Prime factors of 42820 are 2, 5, 2141. Prime factorization of 42820 in exponential form is:

42820 = 2² × 5¹ × 2141¹

Step-2: 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-3: Factors of 42820

List of positive integer factors of 42820 that divides 42820 without a remainder.

1, 2, 4, 5, 10, 20, 2141, 4282, 8564, 10705, 21410

Step-4: Factors of 42840

List of positive integer factors of 42840 that divides 42820 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42820 and 42840. The biggest common factor number is the GCF number.
So the greatest common factor 42820 and 42840 is 20.

Also check out the Least Common Multiple of 42820 and 42840