What is the Greatest Common Factor of 91020 and 91036?

Greatest common factor (GCF) of 91020 and 91036 is 4.

GCF(91020,91036) = 4

We will now calculate the prime factors of 91020 and 91036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91020 and 91036.

How to find the GCF of 91020 and 91036?

We will first find the prime factorization of 91020 and 91036. After we will calculate the factors of 91020 and 91036 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 91036

Prime factors of 91036 are 2, 11, 2069. Prime factorization of 91036 in exponential form is:

91036 = 2² × 11¹ × 2069¹

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 91036

List of positive integer factors of 91036 that divides 91020 without a remainder.

1, 2, 4, 11, 22, 44, 2069, 4138, 8276, 22759, 45518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91020 and 91036. The biggest common factor number is the GCF number.
So the greatest common factor 91020 and 91036 is 4.

Also check out the Least Common Multiple of 91020 and 91036