What is the Greatest Common Factor of 30877 and 30888?

Greatest common factor (GCF) of 30877 and 30888 is 11.

GCF(30877,30888) = 11

We will now calculate the prime factors of 30877 and 30888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30877 and 30888.

How to find the GCF of 30877 and 30888?

We will first find the prime factorization of 30877 and 30888. After we will calculate the factors of 30877 and 30888 and find the biggest common factor number .

Step-1: Prime Factorization of 30877

Prime factors of 30877 are 7, 11, 401. Prime factorization of 30877 in exponential form is:

30877 = 7¹ × 11¹ × 401¹

Step-2: Prime Factorization of 30888

Prime factors of 30888 are 2, 3, 11, 13. Prime factorization of 30888 in exponential form is:

30888 = 2³ × 3³ × 11¹ × 13¹

Step-3: Factors of 30877

List of positive integer factors of 30877 that divides 30877 without a remainder.

1, 7, 11, 77, 401, 2807, 4411

Step-4: Factors of 30888

List of positive integer factors of 30888 that divides 30877 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 13, 18, 22, 24, 26, 27, 33, 36, 39, 44, 52, 54, 66, 72, 78, 88, 99, 104, 108, 117, 132, 143, 156, 198, 216, 234, 264, 286, 297, 312, 351, 396, 429, 468, 572, 594, 702, 792, 858, 936, 1144, 1188, 1287, 1404, 1716, 2376, 2574, 2808, 3432, 3861, 5148, 7722, 10296, 15444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30877 and 30888. The biggest common factor number is the GCF number.
So the greatest common factor 30877 and 30888 is 11.

Also check out the Least Common Multiple of 30877 and 30888