What is the Greatest Common Factor of 48580 and 48594?

Greatest common factor (GCF) of 48580 and 48594 is 14.

GCF(48580,48594) = 14

We will now calculate the prime factors of 48580 and 48594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48580 and 48594.

How to find the GCF of 48580 and 48594?

We will first find the prime factorization of 48580 and 48594. After we will calculate the factors of 48580 and 48594 and find the biggest common factor number .

Step-1: Prime Factorization of 48580

Prime factors of 48580 are 2, 5, 7, 347. Prime factorization of 48580 in exponential form is:

48580 = 2² × 5¹ × 7¹ × 347¹

Step-2: 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-3: Factors of 48580

List of positive integer factors of 48580 that divides 48580 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 347, 694, 1388, 1735, 2429, 3470, 4858, 6940, 9716, 12145, 24290

Step-4: Factors of 48594

List of positive integer factors of 48594 that divides 48580 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48580 and 48594. The biggest common factor number is the GCF number.
So the greatest common factor 48580 and 48594 is 14.

Also check out the Least Common Multiple of 48580 and 48594