What is the Greatest Common Factor of 51460 and 51465?

Greatest common factor (GCF) of 51460 and 51465 is 5.

GCF(51460,51465) = 5

We will now calculate the prime factors of 51460 and 51465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51460 and 51465.

How to find the GCF of 51460 and 51465?

We will first find the prime factorization of 51460 and 51465. After we will calculate the factors of 51460 and 51465 and find the biggest common factor number .

Step-1: Prime Factorization of 51460

Prime factors of 51460 are 2, 5, 31, 83. Prime factorization of 51460 in exponential form is:

51460 = 2² × 5¹ × 31¹ × 83¹

Step-2: 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-3: Factors of 51460

List of positive integer factors of 51460 that divides 51460 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 83, 124, 155, 166, 310, 332, 415, 620, 830, 1660, 2573, 5146, 10292, 12865, 25730

Step-4: Factors of 51465

List of positive integer factors of 51465 that divides 51460 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51460 and 51465. The biggest common factor number is the GCF number.
So the greatest common factor 51460 and 51465 is 5.

Also check out the Least Common Multiple of 51460 and 51465