What is the Greatest Common Factor of 92807 and 92820?

Greatest common factor (GCF) of 92807 and 92820 is 13.

GCF(92807,92820) = 13

We will now calculate the prime factors of 92807 and 92820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92807 and 92820.

How to find the GCF of 92807 and 92820?

We will first find the prime factorization of 92807 and 92820. After we will calculate the factors of 92807 and 92820 and find the biggest common factor number .

Step-1: Prime Factorization of 92807

Prime factors of 92807 are 11, 13, 59. Prime factorization of 92807 in exponential form is:

92807 = 11² × 13¹ × 59¹

Step-2: 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-3: Factors of 92807

List of positive integer factors of 92807 that divides 92807 without a remainder.

1, 11, 13, 59, 121, 143, 649, 767, 1573, 7139, 8437

Step-4: Factors of 92820

List of positive integer factors of 92820 that divides 92807 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92807 and 92820. The biggest common factor number is the GCF number.
So the greatest common factor 92807 and 92820 is 13.

Also check out the Least Common Multiple of 92807 and 92820