What is the Greatest Common Factor of 48685 and 48698?

Greatest common factor (GCF) of 48685 and 48698 is 13.

GCF(48685,48698) = 13

We will now calculate the prime factors of 48685 and 48698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48685 and 48698.

How to find the GCF of 48685 and 48698?

We will first find the prime factorization of 48685 and 48698. After we will calculate the factors of 48685 and 48698 and find the biggest common factor number .

Step-1: Prime Factorization of 48685

Prime factors of 48685 are 5, 7, 13, 107. Prime factorization of 48685 in exponential form is:

48685 = 5¹ × 7¹ × 13¹ × 107¹

Step-2: Prime Factorization of 48698

Prime factors of 48698 are 2, 13, 1873. Prime factorization of 48698 in exponential form is:

48698 = 2¹ × 13¹ × 1873¹

Step-3: Factors of 48685

List of positive integer factors of 48685 that divides 48685 without a remainder.

1, 5, 7, 13, 35, 65, 91, 107, 455, 535, 749, 1391, 3745, 6955, 9737

Step-4: Factors of 48698

List of positive integer factors of 48698 that divides 48685 without a remainder.

1, 2, 13, 26, 1873, 3746, 24349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48685 and 48698. The biggest common factor number is the GCF number.
So the greatest common factor 48685 and 48698 is 13.

Also check out the Least Common Multiple of 48685 and 48698