What is the Greatest Common Factor of 56206 and 56225?

Greatest common factor (GCF) of 56206 and 56225 is 1.

GCF(56206,56225) = 1

We will now calculate the prime factors of 56206 and 56225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56206 and 56225.

How to find the GCF of 56206 and 56225?

We will first find the prime factorization of 56206 and 56225. After we will calculate the factors of 56206 and 56225 and find the biggest common factor number .

Step-1: Prime Factorization of 56206

Prime factors of 56206 are 2, 157, 179. Prime factorization of 56206 in exponential form is:

56206 = 2¹ × 157¹ × 179¹

Step-2: Prime Factorization of 56225

Prime factors of 56225 are 5, 13, 173. Prime factorization of 56225 in exponential form is:

56225 = 5² × 13¹ × 173¹

Step-3: Factors of 56206

List of positive integer factors of 56206 that divides 56206 without a remainder.

1, 2, 157, 179, 314, 358, 28103

Step-4: Factors of 56225

List of positive integer factors of 56225 that divides 56206 without a remainder.

1, 5, 13, 25, 65, 173, 325, 865, 2249, 4325, 11245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56206 and 56225. The biggest common factor number is the GCF number.
So the greatest common factor 56206 and 56225 is 1.

Also check out the Least Common Multiple of 56206 and 56225