What is the Greatest Common Factor of 58128 and 58135?

Greatest common factor (GCF) of 58128 and 58135 is 7.

GCF(58128,58135) = 7

We will now calculate the prime factors of 58128 and 58135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58128 and 58135.

How to find the GCF of 58128 and 58135?

We will first find the prime factorization of 58128 and 58135. After we will calculate the factors of 58128 and 58135 and find the biggest common factor number .

Step-1: Prime Factorization of 58128

Prime factors of 58128 are 2, 3, 7, 173. Prime factorization of 58128 in exponential form is:

58128 = 2⁴ × 3¹ × 7¹ × 173¹

Step-2: Prime Factorization of 58135

Prime factors of 58135 are 5, 7, 11, 151. Prime factorization of 58135 in exponential form is:

58135 = 5¹ × 7¹ × 11¹ × 151¹

Step-3: Factors of 58128

List of positive integer factors of 58128 that divides 58128 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 173, 336, 346, 519, 692, 1038, 1211, 1384, 2076, 2422, 2768, 3633, 4152, 4844, 7266, 8304, 9688, 14532, 19376, 29064

Step-4: Factors of 58135

List of positive integer factors of 58135 that divides 58128 without a remainder.

1, 5, 7, 11, 35, 55, 77, 151, 385, 755, 1057, 1661, 5285, 8305, 11627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58128 and 58135. The biggest common factor number is the GCF number.
So the greatest common factor 58128 and 58135 is 7.

Also check out the Least Common Multiple of 58128 and 58135