What is the Greatest Common Factor of 48594 and 48608?

Greatest common factor (GCF) of 48594 and 48608 is 14.

GCF(48594,48608) = 14

We will now calculate the prime factors of 48594 and 48608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48594 and 48608.

How to find the GCF of 48594 and 48608?

We will first find the prime factorization of 48594 and 48608. After we will calculate the factors of 48594 and 48608 and find the biggest common factor number .

Step-1: Prime Factorization of 48594

Prime factors of 48594 are 2, 3, 7, 13, 89. Prime factorization of 48594 in exponential form is:

48594 = 2¹ × 3¹ × 7¹ × 13¹ × 89¹

Step-2: Prime Factorization of 48608

Prime factors of 48608 are 2, 7, 31. Prime factorization of 48608 in exponential form is:

48608 = 2⁵ × 7² × 31¹

Step-3: Factors of 48594

List of positive integer factors of 48594 that divides 48594 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 89, 91, 178, 182, 267, 273, 534, 546, 623, 1157, 1246, 1869, 2314, 3471, 3738, 6942, 8099, 16198, 24297

Step-4: Factors of 48608

List of positive integer factors of 48608 that divides 48594 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 49, 56, 62, 98, 112, 124, 196, 217, 224, 248, 392, 434, 496, 784, 868, 992, 1519, 1568, 1736, 3038, 3472, 6076, 6944, 12152, 24304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48594 and 48608. The biggest common factor number is the GCF number.
So the greatest common factor 48594 and 48608 is 14.

Also check out the Least Common Multiple of 48594 and 48608