What is the Greatest Common Factor of 56259 and 56266?

Greatest common factor (GCF) of 56259 and 56266 is 7.

GCF(56259,56266) = 7

We will now calculate the prime factors of 56259 and 56266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56259 and 56266.

How to find the GCF of 56259 and 56266?

We will first find the prime factorization of 56259 and 56266. After we will calculate the factors of 56259 and 56266 and find the biggest common factor number .

Step-1: Prime Factorization of 56259

Prime factors of 56259 are 3, 7, 19, 47. Prime factorization of 56259 in exponential form is:

56259 = 3² × 7¹ × 19¹ × 47¹

Step-2: Prime Factorization of 56266

Prime factors of 56266 are 2, 7, 4019. Prime factorization of 56266 in exponential form is:

56266 = 2¹ × 7¹ × 4019¹

Step-3: Factors of 56259

List of positive integer factors of 56259 that divides 56259 without a remainder.

1, 3, 7, 9, 19, 21, 47, 57, 63, 133, 141, 171, 329, 399, 423, 893, 987, 1197, 2679, 2961, 6251, 8037, 18753

Step-4: Factors of 56266

List of positive integer factors of 56266 that divides 56259 without a remainder.

1, 2, 7, 14, 4019, 8038, 28133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56259 and 56266. The biggest common factor number is the GCF number.
So the greatest common factor 56259 and 56266 is 7.

Also check out the Least Common Multiple of 56259 and 56266