What is the Greatest Common Factor of 92820 and 92827?

Greatest common factor (GCF) of 92820 and 92827 is 7.

GCF(92820,92827) = 7

We will now calculate the prime factors of 92820 and 92827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92820 and 92827.

How to find the GCF of 92820 and 92827?

We will first find the prime factorization of 92820 and 92827. After we will calculate the factors of 92820 and 92827 and find the biggest common factor number .

Step-1: Prime Factorization of 92820

Prime factors of 92820 are 2, 3, 5, 7, 13, 17. Prime factorization of 92820 in exponential form is:

92820 = 2² × 3¹ × 5¹ × 7¹ × 13¹ × 17¹

Step-2: Prime Factorization of 92827

Prime factors of 92827 are 7, 89, 149. Prime factorization of 92827 in exponential form is:

92827 = 7¹ × 89¹ × 149¹

Step-3: Factors of 92820

List of positive integer factors of 92820 that divides 92820 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 17, 20, 21, 26, 28, 30, 34, 35, 39, 42, 51, 52, 60, 65, 68, 70, 78, 84, 85, 91, 102, 105, 119, 130, 140, 156, 170, 182, 195, 204, 210, 221, 238, 255, 260, 273, 340, 357, 364, 390, 420, 442, 455, 476, 510, 546, 595, 663, 714, 780, 884, 910, 1020, 1092, 1105, 1190, 1326, 1365, 1428, 1547, 1785, 1820, 2210, 2380, 2652, 2730, 3094, 3315, 3570, 4420, 4641, 5460, 6188, 6630, 7140, 7735, 9282, 13260, 15470, 18564, 23205, 30940, 46410

Step-4: Factors of 92827

List of positive integer factors of 92827 that divides 92820 without a remainder.

1, 7, 89, 149, 623, 1043, 13261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92820 and 92827. The biggest common factor number is the GCF number.
So the greatest common factor 92820 and 92827 is 7.

Also check out the Least Common Multiple of 92820 and 92827