What is the Greatest Common Factor of 871 and 890?

Greatest common factor (GCF) of 871 and 890 is 1.

GCF(871,890) = 1

We will now calculate the prime factors of 871 and 890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 871 and 890.

How to find the GCF of 871 and 890?

We will first find the prime factorization of 871 and 890. After we will calculate the factors of 871 and 890 and find the biggest common factor number .

Step-1: Prime Factorization of 871

Prime factors of 871 are 13, 67. Prime factorization of 871 in exponential form is:

871 = 13¹ × 67¹

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 871

List of positive integer factors of 871 that divides 871 without a remainder.

1, 13, 67

Step-4: Factors of 890

List of positive integer factors of 890 that divides 871 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 871 and 890. The biggest common factor number is the GCF number.
So the greatest common factor 871 and 890 is 1.

Also check out the Least Common Multiple of 871 and 890