What is the Greatest Common Factor of 48685 and 48699?

Greatest common factor (GCF) of 48685 and 48699 is 7.

GCF(48685,48699) = 7

We will now calculate the prime factors of 48685 and 48699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48685 and 48699.

How to find the GCF of 48685 and 48699?

We will first find the prime factorization of 48685 and 48699. After we will calculate the factors of 48685 and 48699 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 48699

Prime factors of 48699 are 3, 7, 773. Prime factorization of 48699 in exponential form is:

48699 = 3² × 7¹ × 773¹

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 48699

List of positive integer factors of 48699 that divides 48685 without a remainder.

1, 3, 7, 9, 21, 63, 773, 2319, 5411, 6957, 16233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48685 and 48699. The biggest common factor number is the GCF number.
So the greatest common factor 48685 and 48699 is 7.

Also check out the Least Common Multiple of 48685 and 48699