What is the Greatest Common Factor of 53070 and 53089?

Greatest common factor (GCF) of 53070 and 53089 is 1.

GCF(53070,53089) = 1

We will now calculate the prime factors of 53070 and 53089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53070 and 53089.

How to find the GCF of 53070 and 53089?

We will first find the prime factorization of 53070 and 53089. After we will calculate the factors of 53070 and 53089 and find the biggest common factor number .

Step-1: Prime Factorization of 53070

Prime factors of 53070 are 2, 3, 5, 29, 61. Prime factorization of 53070 in exponential form is:

53070 = 2¹ × 3¹ × 5¹ × 29¹ × 61¹

Step-2: Prime Factorization of 53089

Prime factors of 53089 are 53089. Prime factorization of 53089 in exponential form is:

53089 = 53089¹

Step-3: Factors of 53070

List of positive integer factors of 53070 that divides 53070 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 61, 87, 122, 145, 174, 183, 290, 305, 366, 435, 610, 870, 915, 1769, 1830, 3538, 5307, 8845, 10614, 17690, 26535

Step-4: Factors of 53089

List of positive integer factors of 53089 that divides 53070 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53070 and 53089. The biggest common factor number is the GCF number.
So the greatest common factor 53070 and 53089 is 1.

Also check out the Least Common Multiple of 53070 and 53089