What is the Greatest Common Factor of 91760 and 91776?

Greatest common factor (GCF) of 91760 and 91776 is 16.

GCF(91760,91776) = 16

We will now calculate the prime factors of 91760 and 91776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91760 and 91776.

How to find the GCF of 91760 and 91776?

We will first find the prime factorization of 91760 and 91776. After we will calculate the factors of 91760 and 91776 and find the biggest common factor number .

Step-1: Prime Factorization of 91760

Prime factors of 91760 are 2, 5, 31, 37. Prime factorization of 91760 in exponential form is:

91760 = 2⁴ × 5¹ × 31¹ × 37¹

Step-2: Prime Factorization of 91776

Prime factors of 91776 are 2, 3, 239. Prime factorization of 91776 in exponential form is:

91776 = 2⁷ × 3¹ × 239¹

Step-3: Factors of 91760

List of positive integer factors of 91760 that divides 91760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 31, 37, 40, 62, 74, 80, 124, 148, 155, 185, 248, 296, 310, 370, 496, 592, 620, 740, 1147, 1240, 1480, 2294, 2480, 2960, 4588, 5735, 9176, 11470, 18352, 22940, 45880

Step-4: Factors of 91776

List of positive integer factors of 91776 that divides 91760 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 239, 384, 478, 717, 956, 1434, 1912, 2868, 3824, 5736, 7648, 11472, 15296, 22944, 30592, 45888

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91760 and 91776. The biggest common factor number is the GCF number.
So the greatest common factor 91760 and 91776 is 16.

Also check out the Least Common Multiple of 91760 and 91776