What is the Greatest Common Factor of 91504 and 91516?

Greatest common factor (GCF) of 91504 and 91516 is 4.

GCF(91504,91516) = 4

We will now calculate the prime factors of 91504 and 91516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91504 and 91516.

How to find the GCF of 91504 and 91516?

We will first find the prime factorization of 91504 and 91516. After we will calculate the factors of 91504 and 91516 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91516

Prime factors of 91516 are 2, 137, 167. Prime factorization of 91516 in exponential form is:

91516 = 2² × 137¹ × 167¹

Step-3: Factors of 91504

List of positive integer factors of 91504 that divides 91504 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

Step-4: Factors of 91516

List of positive integer factors of 91516 that divides 91504 without a remainder.

1, 2, 4, 137, 167, 274, 334, 548, 668, 22879, 45758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91504 and 91516. The biggest common factor number is the GCF number.
So the greatest common factor 91504 and 91516 is 4.

Also check out the Least Common Multiple of 91504 and 91516