What is the Greatest Common Factor of 91020 and 91040?

Greatest common factor (GCF) of 91020 and 91040 is 20.

GCF(91020,91040) = 20

We will now calculate the prime factors of 91020 and 91040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91020 and 91040.

How to find the GCF of 91020 and 91040?

We will first find the prime factorization of 91020 and 91040. After we will calculate the factors of 91020 and 91040 and find the biggest common factor number .

Step-1: Prime Factorization of 91020

Prime factors of 91020 are 2, 3, 5, 37, 41. Prime factorization of 91020 in exponential form is:

91020 = 2² × 3¹ × 5¹ × 37¹ × 41¹

Step-2: Prime Factorization of 91040

Prime factors of 91040 are 2, 5, 569. Prime factorization of 91040 in exponential form is:

91040 = 2⁵ × 5¹ × 569¹

Step-3: Factors of 91020

List of positive integer factors of 91020 that divides 91020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 41, 60, 74, 82, 111, 123, 148, 164, 185, 205, 222, 246, 370, 410, 444, 492, 555, 615, 740, 820, 1110, 1230, 1517, 2220, 2460, 3034, 4551, 6068, 7585, 9102, 15170, 18204, 22755, 30340, 45510

Step-4: Factors of 91040

List of positive integer factors of 91040 that divides 91020 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 569, 1138, 2276, 2845, 4552, 5690, 9104, 11380, 18208, 22760, 45520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91020 and 91040. The biggest common factor number is the GCF number.
So the greatest common factor 91020 and 91040 is 20.

Also check out the Least Common Multiple of 91020 and 91040