What is the Greatest Common Factor of 91770 and 91790?

Greatest common factor (GCF) of 91770 and 91790 is 10.

GCF(91770,91790) = 10

We will now calculate the prime factors of 91770 and 91790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91770 and 91790.

How to find the GCF of 91770 and 91790?

We will first find the prime factorization of 91770 and 91790. After we will calculate the factors of 91770 and 91790 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91790

Prime factors of 91790 are 2, 5, 67, 137. Prime factorization of 91790 in exponential form is:

91790 = 2¹ × 5¹ × 67¹ × 137¹

Step-3: Factors of 91770

List of positive integer factors of 91770 that divides 91770 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

Step-4: Factors of 91790

List of positive integer factors of 91790 that divides 91770 without a remainder.

1, 2, 5, 10, 67, 134, 137, 274, 335, 670, 685, 1370, 9179, 18358, 45895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91770 and 91790. The biggest common factor number is the GCF number.
So the greatest common factor 91770 and 91790 is 10.

Also check out the Least Common Multiple of 91770 and 91790