What is the Greatest Common Factor of 91744 and 91764?

Greatest common factor (GCF) of 91744 and 91764 is 4.

GCF(91744,91764) = 4

We will now calculate the prime factors of 91744 and 91764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91744 and 91764.

How to find the GCF of 91744 and 91764?

We will first find the prime factorization of 91744 and 91764. After we will calculate the factors of 91744 and 91764 and find the biggest common factor number .

Step-1: Prime Factorization of 91744

Prime factors of 91744 are 2, 47, 61. Prime factorization of 91744 in exponential form is:

91744 = 2⁵ × 47¹ × 61¹

Step-2: Prime Factorization of 91764

Prime factors of 91764 are 2, 3, 2549. Prime factorization of 91764 in exponential form is:

91764 = 2² × 3² × 2549¹

Step-3: Factors of 91744

List of positive integer factors of 91744 that divides 91744 without a remainder.

1, 2, 4, 8, 16, 32, 47, 61, 94, 122, 188, 244, 376, 488, 752, 976, 1504, 1952, 2867, 5734, 11468, 22936, 45872

Step-4: Factors of 91764

List of positive integer factors of 91764 that divides 91744 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2549, 5098, 7647, 10196, 15294, 22941, 30588, 45882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91744 and 91764. The biggest common factor number is the GCF number.
So the greatest common factor 91744 and 91764 is 4.

Also check out the Least Common Multiple of 91744 and 91764