What is the Greatest Common Factor of 91880 and 91890?

Greatest common factor (GCF) of 91880 and 91890 is 10.

GCF(91880,91890) = 10

We will now calculate the prime factors of 91880 and 91890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91880 and 91890.

How to find the GCF of 91880 and 91890?

We will first find the prime factorization of 91880 and 91890. After we will calculate the factors of 91880 and 91890 and find the biggest common factor number .

Step-1: Prime Factorization of 91880

Prime factors of 91880 are 2, 5, 2297. Prime factorization of 91880 in exponential form is:

91880 = 2³ × 5¹ × 2297¹

Step-2: Prime Factorization of 91890

Prime factors of 91890 are 2, 3, 5, 1021. Prime factorization of 91890 in exponential form is:

91890 = 2¹ × 3² × 5¹ × 1021¹

Step-3: Factors of 91880

List of positive integer factors of 91880 that divides 91880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2297, 4594, 9188, 11485, 18376, 22970, 45940

Step-4: Factors of 91890

List of positive integer factors of 91890 that divides 91880 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1021, 2042, 3063, 5105, 6126, 9189, 10210, 15315, 18378, 30630, 45945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91880 and 91890. The biggest common factor number is the GCF number.
So the greatest common factor 91880 and 91890 is 10.

Also check out the Least Common Multiple of 91880 and 91890