What is the Greatest Common Factor of 91949 and 91960?

Greatest common factor (GCF) of 91949 and 91960 is 11.

GCF(91949,91960) = 11

We will now calculate the prime factors of 91949 and 91960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91949 and 91960.

How to find the GCF of 91949 and 91960?

We will first find the prime factorization of 91949 and 91960. After we will calculate the factors of 91949 and 91960 and find the biggest common factor number .

Step-1: Prime Factorization of 91949

Prime factors of 91949 are 11, 13, 643. Prime factorization of 91949 in exponential form is:

91949 = 11¹ × 13¹ × 643¹

Step-2: Prime Factorization of 91960

Prime factors of 91960 are 2, 5, 11, 19. Prime factorization of 91960 in exponential form is:

91960 = 2³ × 5¹ × 11² × 19¹

Step-3: Factors of 91949

List of positive integer factors of 91949 that divides 91949 without a remainder.

1, 11, 13, 143, 643, 7073, 8359

Step-4: Factors of 91960

List of positive integer factors of 91960 that divides 91949 without a remainder.

1, 2, 4, 5, 8, 10, 11, 19, 20, 22, 38, 40, 44, 55, 76, 88, 95, 110, 121, 152, 190, 209, 220, 242, 380, 418, 440, 484, 605, 760, 836, 968, 1045, 1210, 1672, 2090, 2299, 2420, 4180, 4598, 4840, 8360, 9196, 11495, 18392, 22990, 45980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91949 and 91960. The biggest common factor number is the GCF number.
So the greatest common factor 91949 and 91960 is 11.

Also check out the Least Common Multiple of 91949 and 91960