What is the Greatest Common Factor of 91040 and 91052?

Greatest common factor (GCF) of 91040 and 91052 is 4.

GCF(91040,91052) = 4

We will now calculate the prime factors of 91040 and 91052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91040 and 91052.

How to find the GCF of 91040 and 91052?

We will first find the prime factorization of 91040 and 91052. After we will calculate the factors of 91040 and 91052 and find the biggest common factor number .

Step-1: Prime Factorization of 91040

Prime factors of 91040 are 2, 5, 569. Prime factorization of 91040 in exponential form is:

91040 = 2⁵ × 5¹ × 569¹

Step-2: Prime Factorization of 91052

Prime factors of 91052 are 2, 13, 17, 103. Prime factorization of 91052 in exponential form is:

91052 = 2² × 13¹ × 17¹ × 103¹

Step-3: Factors of 91040

List of positive integer factors of 91040 that divides 91040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 569, 1138, 2276, 2845, 4552, 5690, 9104, 11380, 18208, 22760, 45520

Step-4: Factors of 91052

List of positive integer factors of 91052 that divides 91040 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 103, 206, 221, 412, 442, 884, 1339, 1751, 2678, 3502, 5356, 7004, 22763, 45526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91040 and 91052. The biggest common factor number is the GCF number.
So the greatest common factor 91040 and 91052 is 4.

Also check out the Least Common Multiple of 91040 and 91052