What is the Greatest Common Factor of 51465 and 51474?

Greatest common factor (GCF) of 51465 and 51474 is 3.

GCF(51465,51474) = 3

We will now calculate the prime factors of 51465 and 51474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51465 and 51474.

How to find the GCF of 51465 and 51474?

We will first find the prime factorization of 51465 and 51474. After we will calculate the factors of 51465 and 51474 and find the biggest common factor number .

Step-1: Prime Factorization of 51465

Prime factors of 51465 are 3, 5, 47, 73. Prime factorization of 51465 in exponential form is:

51465 = 3¹ × 5¹ × 47¹ × 73¹

Step-2: Prime Factorization of 51474

Prime factors of 51474 are 2, 3, 23, 373. Prime factorization of 51474 in exponential form is:

51474 = 2¹ × 3¹ × 23¹ × 373¹

Step-3: Factors of 51465

List of positive integer factors of 51465 that divides 51465 without a remainder.

1, 3, 5, 15, 47, 73, 141, 219, 235, 365, 705, 1095, 3431, 10293, 17155

Step-4: Factors of 51474

List of positive integer factors of 51474 that divides 51465 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 373, 746, 1119, 2238, 8579, 17158, 25737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51465 and 51474. The biggest common factor number is the GCF number.
So the greatest common factor 51465 and 51474 is 3.

Also check out the Least Common Multiple of 51465 and 51474