What is the Greatest Common Factor of 84245 and 84260?

Greatest common factor (GCF) of 84245 and 84260 is 5.

GCF(84245,84260) = 5

We will now calculate the prime factors of 84245 and 84260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84245 and 84260.

How to find the GCF of 84245 and 84260?

We will first find the prime factorization of 84245 and 84260. After we will calculate the factors of 84245 and 84260 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 84260

Prime factors of 84260 are 2, 5, 11, 383. Prime factorization of 84260 in exponential form is:

84260 = 2² × 5¹ × 11¹ × 383¹

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 84260

List of positive integer factors of 84260 that divides 84245 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 383, 766, 1532, 1915, 3830, 4213, 7660, 8426, 16852, 21065, 42130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84245 and 84260. The biggest common factor number is the GCF number.
So the greatest common factor 84245 and 84260 is 5.

Also check out the Least Common Multiple of 84245 and 84260