What is the Greatest Common Factor of 59648 and 59658?

Greatest common factor (GCF) of 59648 and 59658 is 2.

GCF(59648,59658) = 2

We will now calculate the prime factors of 59648 and 59658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59648 and 59658.

How to find the GCF of 59648 and 59658?

We will first find the prime factorization of 59648 and 59658. After we will calculate the factors of 59648 and 59658 and find the biggest common factor number .

Step-1: Prime Factorization of 59648

Prime factors of 59648 are 2, 233. Prime factorization of 59648 in exponential form is:

59648 = 2⁸ × 233¹

Step-2: Prime Factorization of 59658

Prime factors of 59658 are 2, 3, 61, 163. Prime factorization of 59658 in exponential form is:

59658 = 2¹ × 3¹ × 61¹ × 163¹

Step-3: Factors of 59648

List of positive integer factors of 59648 that divides 59648 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 233, 256, 466, 932, 1864, 3728, 7456, 14912, 29824

Step-4: Factors of 59658

List of positive integer factors of 59658 that divides 59648 without a remainder.

1, 2, 3, 6, 61, 122, 163, 183, 326, 366, 489, 978, 9943, 19886, 29829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59648 and 59658. The biggest common factor number is the GCF number.
So the greatest common factor 59648 and 59658 is 2.

Also check out the Least Common Multiple of 59648 and 59658