What is the Greatest Common Factor of 58672 and 58688?

Greatest common factor (GCF) of 58672 and 58688 is 16.

GCF(58672,58688) = 16

We will now calculate the prime factors of 58672 and 58688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58672 and 58688.

How to find the GCF of 58672 and 58688?

We will first find the prime factorization of 58672 and 58688. After we will calculate the factors of 58672 and 58688 and find the biggest common factor number .

Step-1: Prime Factorization of 58672

Prime factors of 58672 are 2, 19, 193. Prime factorization of 58672 in exponential form is:

58672 = 2⁴ × 19¹ × 193¹

Step-2: Prime Factorization of 58688

Prime factors of 58688 are 2, 7, 131. Prime factorization of 58688 in exponential form is:

58688 = 2⁶ × 7¹ × 131¹

Step-3: Factors of 58672

List of positive integer factors of 58672 that divides 58672 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 193, 304, 386, 772, 1544, 3088, 3667, 7334, 14668, 29336

Step-4: Factors of 58688

List of positive integer factors of 58688 that divides 58672 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 131, 224, 262, 448, 524, 917, 1048, 1834, 2096, 3668, 4192, 7336, 8384, 14672, 29344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58672 and 58688. The biggest common factor number is the GCF number.
So the greatest common factor 58672 and 58688 is 16.

Also check out the Least Common Multiple of 58672 and 58688