What is the Greatest Common Factor of 53105 and 53109?

Greatest common factor (GCF) of 53105 and 53109 is 1.

GCF(53105,53109) = 1

We will now calculate the prime factors of 53105 and 53109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53105 and 53109.

How to find the GCF of 53105 and 53109?

We will first find the prime factorization of 53105 and 53109. After we will calculate the factors of 53105 and 53109 and find the biggest common factor number .

Step-1: Prime Factorization of 53105

Prime factors of 53105 are 5, 13, 19, 43. Prime factorization of 53105 in exponential form is:

53105 = 5¹ × 13¹ × 19¹ × 43¹

Step-2: Prime Factorization of 53109

Prime factors of 53109 are 3, 7, 281. Prime factorization of 53109 in exponential form is:

53109 = 3³ × 7¹ × 281¹

Step-3: Factors of 53105

List of positive integer factors of 53105 that divides 53105 without a remainder.

1, 5, 13, 19, 43, 65, 95, 215, 247, 559, 817, 1235, 2795, 4085, 10621

Step-4: Factors of 53109

List of positive integer factors of 53109 that divides 53105 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 281, 843, 1967, 2529, 5901, 7587, 17703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53105 and 53109. The biggest common factor number is the GCF number.
So the greatest common factor 53105 and 53109 is 1.

Also check out the Least Common Multiple of 53105 and 53109