What is the Greatest Common Factor of 48594 and 48607?

Greatest common factor (GCF) of 48594 and 48607 is 13.

GCF(48594,48607) = 13

We will now calculate the prime factors of 48594 and 48607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48594 and 48607.

How to find the GCF of 48594 and 48607?

We will first find the prime factorization of 48594 and 48607. After we will calculate the factors of 48594 and 48607 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 48607

Prime factors of 48607 are 13, 3739. Prime factorization of 48607 in exponential form is:

48607 = 13¹ × 3739¹

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 48607

List of positive integer factors of 48607 that divides 48594 without a remainder.

1, 13, 3739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48594 and 48607. The biggest common factor number is the GCF number.
So the greatest common factor 48594 and 48607 is 13.

Also check out the Least Common Multiple of 48594 and 48607