What is the Greatest Common Factor of 91760 and 91770?

Greatest common factor (GCF) of 91760 and 91770 is 10.

GCF(91760,91770) = 10

We will now calculate the prime factors of 91760 and 91770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91760 and 91770.

How to find the GCF of 91760 and 91770?

We will first find the prime factorization of 91760 and 91770. After we will calculate the factors of 91760 and 91770 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 91770

Prime factors of 91770 are 2, 3, 5, 7, 19, 23. Prime factorization of 91770 in exponential form is:

91770 = 2¹ × 3¹ × 5¹ × 7¹ × 19¹ × 23¹

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 91770

List of positive integer factors of 91770 that divides 91760 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 23, 30, 35, 38, 42, 46, 57, 69, 70, 95, 105, 114, 115, 133, 138, 161, 190, 210, 230, 266, 285, 322, 345, 399, 437, 483, 570, 665, 690, 798, 805, 874, 966, 1311, 1330, 1610, 1995, 2185, 2415, 2622, 3059, 3990, 4370, 4830, 6118, 6555, 9177, 13110, 15295, 18354, 30590, 45885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91760 and 91770. The biggest common factor number is the GCF number.
So the greatest common factor 91760 and 91770 is 10.

Also check out the Least Common Multiple of 91760 and 91770