What is the Greatest Common Factor of 85876 and 85890?

Greatest common factor (GCF) of 85876 and 85890 is 14.

GCF(85876,85890) = 14

We will now calculate the prime factors of 85876 and 85890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85876 and 85890.

How to find the GCF of 85876 and 85890?

We will first find the prime factorization of 85876 and 85890. After we will calculate the factors of 85876 and 85890 and find the biggest common factor number .

Step-1: Prime Factorization of 85876

Prime factors of 85876 are 2, 7, 3067. Prime factorization of 85876 in exponential form is:

85876 = 2² × 7¹ × 3067¹

Step-2: Prime Factorization of 85890

Prime factors of 85890 are 2, 3, 5, 7, 409. Prime factorization of 85890 in exponential form is:

85890 = 2¹ × 3¹ × 5¹ × 7¹ × 409¹

Step-3: Factors of 85876

List of positive integer factors of 85876 that divides 85876 without a remainder.

1, 2, 4, 7, 14, 28, 3067, 6134, 12268, 21469, 42938

Step-4: Factors of 85890

List of positive integer factors of 85890 that divides 85876 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 409, 818, 1227, 2045, 2454, 2863, 4090, 5726, 6135, 8589, 12270, 14315, 17178, 28630, 42945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85876 and 85890. The biggest common factor number is the GCF number.
So the greatest common factor 85876 and 85890 is 14.

Also check out the Least Common Multiple of 85876 and 85890