What is the Greatest Common Factor of 51450 and 51470?

Greatest common factor (GCF) of 51450 and 51470 is 10.

GCF(51450,51470) = 10

We will now calculate the prime factors of 51450 and 51470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51450 and 51470.

How to find the GCF of 51450 and 51470?

We will first find the prime factorization of 51450 and 51470. After we will calculate the factors of 51450 and 51470 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51470

Prime factors of 51470 are 2, 5, 5147. Prime factorization of 51470 in exponential form is:

51470 = 2¹ × 5¹ × 5147¹

Step-3: Factors of 51450

List of positive integer factors of 51450 that divides 51450 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

Step-4: Factors of 51470

List of positive integer factors of 51470 that divides 51450 without a remainder.

1, 2, 5, 10, 5147, 10294, 25735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51450 and 51470. The biggest common factor number is the GCF number.
So the greatest common factor 51450 and 51470 is 10.

Also check out the Least Common Multiple of 51450 and 51470