What is the Greatest Common Factor of 56872 and 56890?

Greatest common factor (GCF) of 56872 and 56890 is 2.

GCF(56872,56890) = 2

We will now calculate the prime factors of 56872 and 56890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56872 and 56890.

How to find the GCF of 56872 and 56890?

We will first find the prime factorization of 56872 and 56890. After we will calculate the factors of 56872 and 56890 and find the biggest common factor number .

Step-1: Prime Factorization of 56872

Prime factors of 56872 are 2, 7109. Prime factorization of 56872 in exponential form is:

56872 = 2³ × 7109¹

Step-2: Prime Factorization of 56890

Prime factors of 56890 are 2, 5, 5689. Prime factorization of 56890 in exponential form is:

56890 = 2¹ × 5¹ × 5689¹

Step-3: Factors of 56872

List of positive integer factors of 56872 that divides 56872 without a remainder.

1, 2, 4, 8, 7109, 14218, 28436

Step-4: Factors of 56890

List of positive integer factors of 56890 that divides 56872 without a remainder.

1, 2, 5, 10, 5689, 11378, 28445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56872 and 56890. The biggest common factor number is the GCF number.
So the greatest common factor 56872 and 56890 is 2.

Also check out the Least Common Multiple of 56872 and 56890