What is the Greatest Common Factor of 91052 and 91069?

Greatest common factor (GCF) of 91052 and 91069 is 17.

GCF(91052,91069) = 17

We will now calculate the prime factors of 91052 and 91069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91052 and 91069.

How to find the GCF of 91052 and 91069?

We will first find the prime factorization of 91052 and 91069. After we will calculate the factors of 91052 and 91069 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91069

Prime factors of 91069 are 11, 17, 487. Prime factorization of 91069 in exponential form is:

91069 = 11¹ × 17¹ × 487¹

Step-3: Factors of 91052

List of positive integer factors of 91052 that divides 91052 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

Step-4: Factors of 91069

List of positive integer factors of 91069 that divides 91052 without a remainder.

1, 11, 17, 187, 487, 5357, 8279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91052 and 91069. The biggest common factor number is the GCF number.
So the greatest common factor 91052 and 91069 is 17.

Also check out the Least Common Multiple of 91052 and 91069