What is the Greatest Common Factor of 53410 and 53415?

Greatest common factor (GCF) of 53410 and 53415 is 5.

GCF(53410,53415) = 5

We will now calculate the prime factors of 53410 and 53415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53410 and 53415.

How to find the GCF of 53410 and 53415?

We will first find the prime factorization of 53410 and 53415. After we will calculate the factors of 53410 and 53415 and find the biggest common factor number .

Step-1: Prime Factorization of 53410

Prime factors of 53410 are 2, 5, 7, 109. Prime factorization of 53410 in exponential form is:

53410 = 2¹ × 5¹ × 7² × 109¹

Step-2: Prime Factorization of 53415

Prime factors of 53415 are 3, 5, 1187. Prime factorization of 53415 in exponential form is:

53415 = 3² × 5¹ × 1187¹

Step-3: Factors of 53410

List of positive integer factors of 53410 that divides 53410 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 109, 218, 245, 490, 545, 763, 1090, 1526, 3815, 5341, 7630, 10682, 26705

Step-4: Factors of 53415

List of positive integer factors of 53415 that divides 53410 without a remainder.

1, 3, 5, 9, 15, 45, 1187, 3561, 5935, 10683, 17805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53410 and 53415. The biggest common factor number is the GCF number.
So the greatest common factor 53410 and 53415 is 5.

Also check out the Least Common Multiple of 53410 and 53415