What is the Greatest Common Factor of 59522 and 59536?

Greatest common factor (GCF) of 59522 and 59536 is 2.

GCF(59522,59536) = 2

We will now calculate the prime factors of 59522 and 59536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59522 and 59536.

How to find the GCF of 59522 and 59536?

We will first find the prime factorization of 59522 and 59536. After we will calculate the factors of 59522 and 59536 and find the biggest common factor number .

Step-1: Prime Factorization of 59522

Prime factors of 59522 are 2, 29761. Prime factorization of 59522 in exponential form is:

59522 = 2¹ × 29761¹

Step-2: Prime Factorization of 59536

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

59536 = 2⁴ × 61²

Step-3: Factors of 59522

List of positive integer factors of 59522 that divides 59522 without a remainder.

1, 2, 29761

Step-4: Factors of 59536

List of positive integer factors of 59536 that divides 59522 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59522 and 59536. The biggest common factor number is the GCF number.
So the greatest common factor 59522 and 59536 is 2.

Also check out the Least Common Multiple of 59522 and 59536