What is the Greatest Common Factor of 91945 and 91960?

Greatest common factor (GCF) of 91945 and 91960 is 5.

GCF(91945,91960) = 5

We will now calculate the prime factors of 91945 and 91960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91945 and 91960.

How to find the GCF of 91945 and 91960?

We will first find the prime factorization of 91945 and 91960. After we will calculate the factors of 91945 and 91960 and find the biggest common factor number .

Step-1: Prime Factorization of 91945

Prime factors of 91945 are 5, 7, 37, 71. Prime factorization of 91945 in exponential form is:

91945 = 5¹ × 7¹ × 37¹ × 71¹

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 91945

List of positive integer factors of 91945 that divides 91945 without a remainder.

1, 5, 7, 35, 37, 71, 185, 259, 355, 497, 1295, 2485, 2627, 13135, 18389

Step-4: Factors of 91960

List of positive integer factors of 91960 that divides 91945 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 91945 and 91960. The biggest common factor number is the GCF number.
So the greatest common factor 91945 and 91960 is 5.

Also check out the Least Common Multiple of 91945 and 91960