What is the Greatest Common Factor of 59532 and 59536?

Greatest common factor (GCF) of 59532 and 59536 is 4.

GCF(59532,59536) = 4

We will now calculate the prime factors of 59532 and 59536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59532 and 59536.

How to find the GCF of 59532 and 59536?

We will first find the prime factorization of 59532 and 59536. After we will calculate the factors of 59532 and 59536 and find the biggest common factor number .

Step-1: Prime Factorization of 59532

Prime factors of 59532 are 2, 3, 11, 41. Prime factorization of 59532 in exponential form is:

59532 = 2² × 3¹ × 11² × 41¹

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 59532

List of positive integer factors of 59532 that divides 59532 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 41, 44, 66, 82, 121, 123, 132, 164, 242, 246, 363, 451, 484, 492, 726, 902, 1353, 1452, 1804, 2706, 4961, 5412, 9922, 14883, 19844, 29766

Step-4: Factors of 59536

List of positive integer factors of 59536 that divides 59532 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 59532 and 59536. The biggest common factor number is the GCF number.
So the greatest common factor 59532 and 59536 is 4.

Also check out the Least Common Multiple of 59532 and 59536