What is the Greatest Common Factor of 57563 and 57574?

Greatest common factor (GCF) of 57563 and 57574 is 11.

GCF(57563,57574) = 11

We will now calculate the prime factors of 57563 and 57574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57563 and 57574.

How to find the GCF of 57563 and 57574?

We will first find the prime factorization of 57563 and 57574. After we will calculate the factors of 57563 and 57574 and find the biggest common factor number .

Step-1: Prime Factorization of 57563

Prime factors of 57563 are 11, 5233. Prime factorization of 57563 in exponential form is:

57563 = 11¹ × 5233¹

Step-2: Prime Factorization of 57574

Prime factors of 57574 are 2, 11, 2617. Prime factorization of 57574 in exponential form is:

57574 = 2¹ × 11¹ × 2617¹

Step-3: Factors of 57563

List of positive integer factors of 57563 that divides 57563 without a remainder.

1, 11, 5233

Step-4: Factors of 57574

List of positive integer factors of 57574 that divides 57563 without a remainder.

1, 2, 11, 22, 2617, 5234, 28787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57563 and 57574. The biggest common factor number is the GCF number.
So the greatest common factor 57563 and 57574 is 11.

Also check out the Least Common Multiple of 57563 and 57574