What is the Greatest Common Factor of 56518 and 56532?

Greatest common factor (GCF) of 56518 and 56532 is 14.

GCF(56518,56532) = 14

We will now calculate the prime factors of 56518 and 56532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56518 and 56532.

How to find the GCF of 56518 and 56532?

We will first find the prime factorization of 56518 and 56532. After we will calculate the factors of 56518 and 56532 and find the biggest common factor number .

Step-1: Prime Factorization of 56518

Prime factors of 56518 are 2, 7, 11, 367. Prime factorization of 56518 in exponential form is:

56518 = 2¹ × 7¹ × 11¹ × 367¹

Step-2: Prime Factorization of 56532

Prime factors of 56532 are 2, 3, 7, 673. Prime factorization of 56532 in exponential form is:

56532 = 2² × 3¹ × 7¹ × 673¹

Step-3: Factors of 56518

List of positive integer factors of 56518 that divides 56518 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 367, 734, 2569, 4037, 5138, 8074, 28259

Step-4: Factors of 56532

List of positive integer factors of 56532 that divides 56518 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 673, 1346, 2019, 2692, 4038, 4711, 8076, 9422, 14133, 18844, 28266

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56518 and 56532. The biggest common factor number is the GCF number.
So the greatest common factor 56518 and 56532 is 14.

Also check out the Least Common Multiple of 56518 and 56532