What is the Greatest Common Factor of 91770 and 91780?

Greatest common factor (GCF) of 91770 and 91780 is 10.

GCF(91770,91780) = 10

We will now calculate the prime factors of 91770 and 91780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91770 and 91780.

How to find the GCF of 91770 and 91780?

We will first find the prime factorization of 91770 and 91780. After we will calculate the factors of 91770 and 91780 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 91780

Prime factors of 91780 are 2, 5, 13, 353. Prime factorization of 91780 in exponential form is:

91780 = 2² × 5¹ × 13¹ × 353¹

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 91780

List of positive integer factors of 91780 that divides 91770 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 353, 706, 1412, 1765, 3530, 4589, 7060, 9178, 18356, 22945, 45890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91770 and 91780. The biggest common factor number is the GCF number.
So the greatest common factor 91770 and 91780 is 10.

Also check out the Least Common Multiple of 91770 and 91780