What is the Greatest Common Factor of 59536 and 59554?

Greatest common factor (GCF) of 59536 and 59554 is 2.

GCF(59536,59554) = 2

We will now calculate the prime factors of 59536 and 59554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59536 and 59554.

How to find the GCF of 59536 and 59554?

We will first find the prime factorization of 59536 and 59554. After we will calculate the factors of 59536 and 59554 and find the biggest common factor number .

Step-1: Prime Factorization of 59536

Prime factors of 59536 are 2, 61. Prime factorization of 59536 in exponential form is:

59536 = 2⁴ × 61²

Step-2: Prime Factorization of 59554

Prime factors of 59554 are 2, 11, 2707. Prime factorization of 59554 in exponential form is:

59554 = 2¹ × 11¹ × 2707¹

Step-3: Factors of 59536

List of positive integer factors of 59536 that divides 59536 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976, 3721, 7442, 14884, 29768

Step-4: Factors of 59554

List of positive integer factors of 59554 that divides 59536 without a remainder.

1, 2, 11, 22, 2707, 5414, 29777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59536 and 59554. The biggest common factor number is the GCF number.
So the greatest common factor 59536 and 59554 is 2.

Also check out the Least Common Multiple of 59536 and 59554