What is the Greatest Common Factor of 890 and 900?

Greatest common factor (GCF) of 890 and 900 is 10.

GCF(890,900) = 10

We will now calculate the prime factors of 890 and 900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 890 and 900.

How to find the GCF of 890 and 900?

We will first find the prime factorization of 890 and 900. After we will calculate the factors of 890 and 900 and find the biggest common factor number .

Step-1: Prime Factorization of 890

Prime factors of 890 are 2, 5, 89. Prime factorization of 890 in exponential form is:

890 = 2¹ × 5¹ × 89¹

Step-2: Prime Factorization of 900

Prime factors of 900 are 2, 3, 5. Prime factorization of 900 in exponential form is:

900 = 2² × 3² × 5²

Step-3: Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445

Step-4: Factors of 900

List of positive integer factors of 900 that divides 890 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 890 and 900. The biggest common factor number is the GCF number.
So the greatest common factor 890 and 900 is 10.

Also check out the Least Common Multiple of 890 and 900