What is the Greatest Common Factor of 51435 and 51450?

Greatest common factor (GCF) of 51435 and 51450 is 15.

GCF(51435,51450) = 15

We will now calculate the prime factors of 51435 and 51450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51435 and 51450.

How to find the GCF of 51435 and 51450?

We will first find the prime factorization of 51435 and 51450. After we will calculate the factors of 51435 and 51450 and find the biggest common factor number .

Step-1: Prime Factorization of 51435

Prime factors of 51435 are 3, 5, 127. Prime factorization of 51435 in exponential form is:

51435 = 3⁴ × 5¹ × 127¹

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 51435

List of positive integer factors of 51435 that divides 51435 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 127, 135, 381, 405, 635, 1143, 1905, 3429, 5715, 10287, 17145

Step-4: Factors of 51450

List of positive integer factors of 51450 that divides 51435 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 51435 and 51450. The biggest common factor number is the GCF number.
So the greatest common factor 51435 and 51450 is 15.

Also check out the Least Common Multiple of 51435 and 51450