What is the Greatest Common Factor of 56245 and 56265?

Greatest common factor (GCF) of 56245 and 56265 is 5.

GCF(56245,56265) = 5

We will now calculate the prime factors of 56245 and 56265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56245 and 56265.

How to find the GCF of 56245 and 56265?

We will first find the prime factorization of 56245 and 56265. After we will calculate the factors of 56245 and 56265 and find the biggest common factor number .

Step-1: Prime Factorization of 56245

Prime factors of 56245 are 5, 7, 1607. Prime factorization of 56245 in exponential form is:

56245 = 5¹ × 7¹ × 1607¹

Step-2: Prime Factorization of 56265

Prime factors of 56265 are 3, 5, 11, 31. Prime factorization of 56265 in exponential form is:

56265 = 3¹ × 5¹ × 11² × 31¹

Step-3: Factors of 56245

List of positive integer factors of 56245 that divides 56245 without a remainder.

1, 5, 7, 35, 1607, 8035, 11249

Step-4: Factors of 56265

List of positive integer factors of 56265 that divides 56245 without a remainder.

1, 3, 5, 11, 15, 31, 33, 55, 93, 121, 155, 165, 341, 363, 465, 605, 1023, 1705, 1815, 3751, 5115, 11253, 18755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56245 and 56265. The biggest common factor number is the GCF number.
So the greatest common factor 56245 and 56265 is 5.

Also check out the Least Common Multiple of 56245 and 56265