What is the Greatest Common Factor of 870 and 890?

Greatest common factor (GCF) of 870 and 890 is 10.

GCF(870,890) = 10

We will now calculate the prime factors of 870 and 890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 870 and 890.

How to find the GCF of 870 and 890?

We will first find the prime factorization of 870 and 890. After we will calculate the factors of 870 and 890 and find the biggest common factor number .

Step-1: Prime Factorization of 870

Prime factors of 870 are 2, 3, 5, 29. Prime factorization of 870 in exponential form is:

870 = 2¹ × 3¹ × 5¹ × 29¹

Step-2: 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-3: Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435

Step-4: Factors of 890

List of positive integer factors of 890 that divides 870 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 870 and 890. The biggest common factor number is the GCF number.
So the greatest common factor 870 and 890 is 10.

Also check out the Least Common Multiple of 870 and 890