What is the Greatest Common Factor of 21840 and 21847?

Greatest common factor (GCF) of 21840 and 21847 is 7.

GCF(21840,21847) = 7

We will now calculate the prime factors of 21840 and 21847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21840 and 21847.

How to find the GCF of 21840 and 21847?

We will first find the prime factorization of 21840 and 21847. After we will calculate the factors of 21840 and 21847 and find the biggest common factor number .

Step-1: Prime Factorization of 21840

Prime factors of 21840 are 2, 3, 5, 7, 13. Prime factorization of 21840 in exponential form is:

21840 = 2⁴ × 3¹ × 5¹ × 7¹ × 13¹

Step-2: Prime Factorization of 21847

Prime factors of 21847 are 7, 3121. Prime factorization of 21847 in exponential form is:

21847 = 7¹ × 3121¹

Step-3: Factors of 21840

List of positive integer factors of 21840 that divides 21840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 16, 20, 21, 24, 26, 28, 30, 35, 39, 40, 42, 48, 52, 56, 60, 65, 70, 78, 80, 84, 91, 104, 105, 112, 120, 130, 140, 156, 168, 182, 195, 208, 210, 240, 260, 273, 280, 312, 336, 364, 390, 420, 455, 520, 546, 560, 624, 728, 780, 840, 910, 1040, 1092, 1365, 1456, 1560, 1680, 1820, 2184, 2730, 3120, 3640, 4368, 5460, 7280, 10920

Step-4: Factors of 21847

List of positive integer factors of 21847 that divides 21840 without a remainder.

1, 7, 3121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21840 and 21847. The biggest common factor number is the GCF number.
So the greatest common factor 21840 and 21847 is 7.

Also check out the Least Common Multiple of 21840 and 21847