What is the Greatest Common Factor of 53498 and 53505?

Greatest common factor (GCF) of 53498 and 53505 is 1.

GCF(53498,53505) = 1

We will now calculate the prime factors of 53498 and 53505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53498 and 53505.

How to find the GCF of 53498 and 53505?

We will first find the prime factorization of 53498 and 53505. After we will calculate the factors of 53498 and 53505 and find the biggest common factor number .

Step-1: Prime Factorization of 53498

Prime factors of 53498 are 2, 23, 1163. Prime factorization of 53498 in exponential form is:

53498 = 2¹ × 23¹ × 1163¹

Step-2: Prime Factorization of 53505

Prime factors of 53505 are 3, 5, 29, 41. Prime factorization of 53505 in exponential form is:

53505 = 3² × 5¹ × 29¹ × 41¹

Step-3: Factors of 53498

List of positive integer factors of 53498 that divides 53498 without a remainder.

1, 2, 23, 46, 1163, 2326, 26749

Step-4: Factors of 53505

List of positive integer factors of 53505 that divides 53498 without a remainder.

1, 3, 5, 9, 15, 29, 41, 45, 87, 123, 145, 205, 261, 369, 435, 615, 1189, 1305, 1845, 3567, 5945, 10701, 17835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53498 and 53505. The biggest common factor number is the GCF number.
So the greatest common factor 53498 and 53505 is 1.

Also check out the Least Common Multiple of 53498 and 53505