What is the Greatest Common Factor of 56440 and 56450?

Greatest common factor (GCF) of 56440 and 56450 is 10.

GCF(56440,56450) = 10

We will now calculate the prime factors of 56440 and 56450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56440 and 56450.

How to find the GCF of 56440 and 56450?

We will first find the prime factorization of 56440 and 56450. After we will calculate the factors of 56440 and 56450 and find the biggest common factor number .

Step-1: Prime Factorization of 56440

Prime factors of 56440 are 2, 5, 17, 83. Prime factorization of 56440 in exponential form is:

56440 = 2³ × 5¹ × 17¹ × 83¹

Step-2: Prime Factorization of 56450

Prime factors of 56450 are 2, 5, 1129. Prime factorization of 56450 in exponential form is:

56450 = 2¹ × 5² × 1129¹

Step-3: Factors of 56440

List of positive integer factors of 56440 that divides 56440 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 83, 85, 136, 166, 170, 332, 340, 415, 664, 680, 830, 1411, 1660, 2822, 3320, 5644, 7055, 11288, 14110, 28220

Step-4: Factors of 56450

List of positive integer factors of 56450 that divides 56440 without a remainder.

1, 2, 5, 10, 25, 50, 1129, 2258, 5645, 11290, 28225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56440 and 56450. The biggest common factor number is the GCF number.
So the greatest common factor 56440 and 56450 is 10.

Also check out the Least Common Multiple of 56440 and 56450