What is the Greatest Common Factor of 96080 and 96090?

Greatest common factor (GCF) of 96080 and 96090 is 10.

GCF(96080,96090) = 10

We will now calculate the prime factors of 96080 and 96090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96080 and 96090.

How to find the GCF of 96080 and 96090?

We will first find the prime factorization of 96080 and 96090. After we will calculate the factors of 96080 and 96090 and find the biggest common factor number .

Step-1: Prime Factorization of 96080

Prime factors of 96080 are 2, 5, 1201. Prime factorization of 96080 in exponential form is:

96080 = 2⁴ × 5¹ × 1201¹

Step-2: Prime Factorization of 96090

Prime factors of 96090 are 2, 3, 5, 3203. Prime factorization of 96090 in exponential form is:

96090 = 2¹ × 3¹ × 5¹ × 3203¹

Step-3: Factors of 96080

List of positive integer factors of 96080 that divides 96080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1201, 2402, 4804, 6005, 9608, 12010, 19216, 24020, 48040

Step-4: Factors of 96090

List of positive integer factors of 96090 that divides 96080 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3203, 6406, 9609, 16015, 19218, 32030, 48045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96080 and 96090. The biggest common factor number is the GCF number.
So the greatest common factor 96080 and 96090 is 10.

Also check out the Least Common Multiple of 96080 and 96090