What is the Greatest Common Factor of 91039 and 91052?

Greatest common factor (GCF) of 91039 and 91052 is 13.

GCF(91039,91052) = 13

We will now calculate the prime factors of 91039 and 91052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91039 and 91052.

How to find the GCF of 91039 and 91052?

We will first find the prime factorization of 91039 and 91052. After we will calculate the factors of 91039 and 91052 and find the biggest common factor number .

Step-1: Prime Factorization of 91039

Prime factors of 91039 are 13, 47, 149. Prime factorization of 91039 in exponential form is:

91039 = 13¹ × 47¹ × 149¹

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 91039

List of positive integer factors of 91039 that divides 91039 without a remainder.

1, 13, 47, 149, 611, 1937, 7003

Step-4: Factors of 91052

List of positive integer factors of 91052 that divides 91039 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 91039 and 91052. The biggest common factor number is the GCF number.
So the greatest common factor 91039 and 91052 is 13.

Also check out the Least Common Multiple of 91039 and 91052