What is the Greatest Common Factor of 91500 and 91504?

Greatest common factor (GCF) of 91500 and 91504 is 4.

GCF(91500,91504) = 4

We will now calculate the prime factors of 91500 and 91504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91500 and 91504.

How to find the GCF of 91500 and 91504?

We will first find the prime factorization of 91500 and 91504. After we will calculate the factors of 91500 and 91504 and find the biggest common factor number .

Step-1: Prime Factorization of 91500

Prime factors of 91500 are 2, 3, 5, 61. Prime factorization of 91500 in exponential form is:

91500 = 2² × 3¹ × 5³ × 61¹

Step-2: Prime Factorization of 91504

Prime factors of 91504 are 2, 7, 19, 43. Prime factorization of 91504 in exponential form is:

91504 = 2⁴ × 7¹ × 19¹ × 43¹

Step-3: Factors of 91500

List of positive integer factors of 91500 that divides 91500 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 61, 75, 100, 122, 125, 150, 183, 244, 250, 300, 305, 366, 375, 500, 610, 732, 750, 915, 1220, 1500, 1525, 1830, 3050, 3660, 4575, 6100, 7625, 9150, 15250, 18300, 22875, 30500, 45750

Step-4: Factors of 91504

List of positive integer factors of 91504 that divides 91500 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 38, 43, 56, 76, 86, 112, 133, 152, 172, 266, 301, 304, 344, 532, 602, 688, 817, 1064, 1204, 1634, 2128, 2408, 3268, 4816, 5719, 6536, 11438, 13072, 22876, 45752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91500 and 91504. The biggest common factor number is the GCF number.
So the greatest common factor 91500 and 91504 is 4.

Also check out the Least Common Multiple of 91500 and 91504