What is the Greatest Common Factor of 91416 and 91429?

Greatest common factor (GCF) of 91416 and 91429 is 13.

GCF(91416,91429) = 13

We will now calculate the prime factors of 91416 and 91429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91416 and 91429.

How to find the GCF of 91416 and 91429?

We will first find the prime factorization of 91416 and 91429. After we will calculate the factors of 91416 and 91429 and find the biggest common factor number .

Step-1: Prime Factorization of 91416

Prime factors of 91416 are 2, 3, 13, 293. Prime factorization of 91416 in exponential form is:

91416 = 2³ × 3¹ × 13¹ × 293¹

Step-2: Prime Factorization of 91429

Prime factors of 91429 are 13, 541. Prime factorization of 91429 in exponential form is:

91429 = 13² × 541¹

Step-3: Factors of 91416

List of positive integer factors of 91416 that divides 91416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 293, 312, 586, 879, 1172, 1758, 2344, 3516, 3809, 7032, 7618, 11427, 15236, 22854, 30472, 45708

Step-4: Factors of 91429

List of positive integer factors of 91429 that divides 91416 without a remainder.

1, 13, 169, 541, 7033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91416 and 91429. The biggest common factor number is the GCF number.
So the greatest common factor 91416 and 91429 is 13.

Also check out the Least Common Multiple of 91416 and 91429