What is the Greatest Common Factor of 91020 and 91024?

Greatest common factor (GCF) of 91020 and 91024 is 4.

GCF(91020,91024) = 4

We will now calculate the prime factors of 91020 and 91024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91020 and 91024.

How to find the GCF of 91020 and 91024?

We will first find the prime factorization of 91020 and 91024. After we will calculate the factors of 91020 and 91024 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 91024

Prime factors of 91024 are 2, 5689. Prime factorization of 91024 in exponential form is:

91024 = 2⁴ × 5689¹

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 91024

List of positive integer factors of 91024 that divides 91020 without a remainder.

1, 2, 4, 8, 16, 5689, 11378, 22756, 45512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91020 and 91024. The biggest common factor number is the GCF number.
So the greatest common factor 91020 and 91024 is 4.

Also check out the Least Common Multiple of 91020 and 91024