What is the Greatest Common Factor of 51440 and 51450?

Greatest common factor (GCF) of 51440 and 51450 is 10.

GCF(51440,51450) = 10

We will now calculate the prime factors of 51440 and 51450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51440 and 51450.

How to find the GCF of 51440 and 51450?

We will first find the prime factorization of 51440 and 51450. After we will calculate the factors of 51440 and 51450 and find the biggest common factor number .

Step-1: Prime Factorization of 51440

Prime factors of 51440 are 2, 5, 643. Prime factorization of 51440 in exponential form is:

51440 = 2⁴ × 5¹ × 643¹

Step-2: Prime Factorization of 51450

Prime factors of 51450 are 2, 3, 5, 7. Prime factorization of 51450 in exponential form is:

51450 = 2¹ × 3¹ × 5² × 7³

Step-3: Factors of 51440

List of positive integer factors of 51440 that divides 51440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 643, 1286, 2572, 3215, 5144, 6430, 10288, 12860, 25720

Step-4: Factors of 51450

List of positive integer factors of 51450 that divides 51440 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 49, 50, 70, 75, 98, 105, 147, 150, 175, 210, 245, 294, 343, 350, 490, 525, 686, 735, 1029, 1050, 1225, 1470, 1715, 2058, 2450, 3430, 3675, 5145, 7350, 8575, 10290, 17150, 25725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51440 and 51450. The biggest common factor number is the GCF number.
So the greatest common factor 51440 and 51450 is 10.

Also check out the Least Common Multiple of 51440 and 51450