What is the Greatest Common Factor of 91770 and 91776?

Greatest common factor (GCF) of 91770 and 91776 is 6.

GCF(91770,91776) = 6

We will now calculate the prime factors of 91770 and 91776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91770 and 91776.

How to find the GCF of 91770 and 91776?

We will first find the prime factorization of 91770 and 91776. After we will calculate the factors of 91770 and 91776 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 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 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 91776

List of positive integer factors of 91776 that divides 91770 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 91770 and 91776. The biggest common factor number is the GCF number.
So the greatest common factor 91770 and 91776 is 6.

Also check out the Least Common Multiple of 91770 and 91776