What is the Greatest Common Factor of 84245 and 84253?

Greatest common factor (GCF) of 84245 and 84253 is 1.

GCF(84245,84253) = 1

We will now calculate the prime factors of 84245 and 84253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84245 and 84253.

How to find the GCF of 84245 and 84253?

We will first find the prime factorization of 84245 and 84253. After we will calculate the factors of 84245 and 84253 and find the biggest common factor number .

Step-1: Prime Factorization of 84245

Prime factors of 84245 are 5, 7, 29, 83. Prime factorization of 84245 in exponential form is:

84245 = 5¹ × 7¹ × 29¹ × 83¹

Step-2: Prime Factorization of 84253

Prime factors of 84253 are 13, 6481. Prime factorization of 84253 in exponential form is:

84253 = 13¹ × 6481¹

Step-3: Factors of 84245

List of positive integer factors of 84245 that divides 84245 without a remainder.

1, 5, 7, 29, 35, 83, 145, 203, 415, 581, 1015, 2407, 2905, 12035, 16849

Step-4: Factors of 84253

List of positive integer factors of 84253 that divides 84245 without a remainder.

1, 13, 6481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84245 and 84253. The biggest common factor number is the GCF number.
So the greatest common factor 84245 and 84253 is 1.

Also check out the Least Common Multiple of 84245 and 84253