What is the Greatest Common Factor of 48594 and 48605?

Greatest common factor (GCF) of 48594 and 48605 is 1.

GCF(48594,48605) = 1

We will now calculate the prime factors of 48594 and 48605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48594 and 48605.

How to find the GCF of 48594 and 48605?

We will first find the prime factorization of 48594 and 48605. After we will calculate the factors of 48594 and 48605 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 48605

Prime factors of 48605 are 5, 9721. Prime factorization of 48605 in exponential form is:

48605 = 5¹ × 9721¹

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 48605

List of positive integer factors of 48605 that divides 48594 without a remainder.

1, 5, 9721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48594 and 48605. The biggest common factor number is the GCF number.
So the greatest common factor 48594 and 48605 is 1.

Also check out the Least Common Multiple of 48594 and 48605