What is the Greatest Common Factor of 56236 and 56253?

Greatest common factor (GCF) of 56236 and 56253 is 17.

GCF(56236,56253) = 17

We will now calculate the prime factors of 56236 and 56253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56236 and 56253.

How to find the GCF of 56236 and 56253?

We will first find the prime factorization of 56236 and 56253. After we will calculate the factors of 56236 and 56253 and find the biggest common factor number .

Step-1: Prime Factorization of 56236

Prime factors of 56236 are 2, 17, 827. Prime factorization of 56236 in exponential form is:

56236 = 2² × 17¹ × 827¹

Step-2: Prime Factorization of 56253

Prime factors of 56253 are 3, 17, 1103. Prime factorization of 56253 in exponential form is:

56253 = 3¹ × 17¹ × 1103¹

Step-3: Factors of 56236

List of positive integer factors of 56236 that divides 56236 without a remainder.

1, 2, 4, 17, 34, 68, 827, 1654, 3308, 14059, 28118

Step-4: Factors of 56253

List of positive integer factors of 56253 that divides 56236 without a remainder.

1, 3, 17, 51, 1103, 3309, 18751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56236 and 56253. The biggest common factor number is the GCF number.
So the greatest common factor 56236 and 56253 is 17.

Also check out the Least Common Multiple of 56236 and 56253