What is the Greatest Common Factor of 59048 and 59052?

Greatest common factor (GCF) of 59048 and 59052 is 4.

GCF(59048,59052) = 4

We will now calculate the prime factors of 59048 and 59052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59048 and 59052.

How to find the GCF of 59048 and 59052?

We will first find the prime factorization of 59048 and 59052. After we will calculate the factors of 59048 and 59052 and find the biggest common factor number .

Step-1: Prime Factorization of 59048

Prime factors of 59048 are 2, 11, 61. Prime factorization of 59048 in exponential form is:

59048 = 2³ × 11² × 61¹

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 59048

List of positive integer factors of 59048 that divides 59048 without a remainder.

1, 2, 4, 8, 11, 22, 44, 61, 88, 121, 122, 242, 244, 484, 488, 671, 968, 1342, 2684, 5368, 7381, 14762, 29524

Step-4: Factors of 59052

List of positive integer factors of 59052 that divides 59048 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 59048 and 59052. The biggest common factor number is the GCF number.
So the greatest common factor 59048 and 59052 is 4.

Also check out the Least Common Multiple of 59048 and 59052