What is the Greatest Common Factor of 59044 and 59052?

Greatest common factor (GCF) of 59044 and 59052 is 4.

GCF(59044,59052) = 4

We will now calculate the prime factors of 59044 and 59052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59044 and 59052.

How to find the GCF of 59044 and 59052?

We will first find the prime factorization of 59044 and 59052. After we will calculate the factors of 59044 and 59052 and find the biggest common factor number .

Step-1: Prime Factorization of 59044

Prime factors of 59044 are 2, 29, 509. Prime factorization of 59044 in exponential form is:

59044 = 2² × 29¹ × 509¹

Step-2: Prime Factorization of 59052

Prime factors of 59052 are 2, 3, 7, 19, 37. Prime factorization of 59052 in exponential form is:

59052 = 2² × 3¹ × 7¹ × 19¹ × 37¹

Step-3: Factors of 59044

List of positive integer factors of 59044 that divides 59044 without a remainder.

1, 2, 4, 29, 58, 116, 509, 1018, 2036, 14761, 29522

Step-4: Factors of 59052

List of positive integer factors of 59052 that divides 59044 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 37, 38, 42, 57, 74, 76, 84, 111, 114, 133, 148, 222, 228, 259, 266, 399, 444, 518, 532, 703, 777, 798, 1036, 1406, 1554, 1596, 2109, 2812, 3108, 4218, 4921, 8436, 9842, 14763, 19684, 29526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59044 and 59052. The biggest common factor number is the GCF number.
So the greatest common factor 59044 and 59052 is 4.

Also check out the Least Common Multiple of 59044 and 59052