What is the Greatest Common Factor of 55685 and 55699?

Greatest common factor (GCF) of 55685 and 55699 is 7.

GCF(55685,55699) = 7

We will now calculate the prime factors of 55685 and 55699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55685 and 55699.

How to find the GCF of 55685 and 55699?

We will first find the prime factorization of 55685 and 55699. After we will calculate the factors of 55685 and 55699 and find the biggest common factor number .

Step-1: Prime Factorization of 55685

Prime factors of 55685 are 5, 7, 37, 43. Prime factorization of 55685 in exponential form is:

55685 = 5¹ × 7¹ × 37¹ × 43¹

Step-2: Prime Factorization of 55699

Prime factors of 55699 are 7, 73, 109. Prime factorization of 55699 in exponential form is:

55699 = 7¹ × 73¹ × 109¹

Step-3: Factors of 55685

List of positive integer factors of 55685 that divides 55685 without a remainder.

1, 5, 7, 35, 37, 43, 185, 215, 259, 301, 1295, 1505, 1591, 7955, 11137

Step-4: Factors of 55699

List of positive integer factors of 55699 that divides 55685 without a remainder.

1, 7, 73, 109, 511, 763, 7957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55685 and 55699. The biggest common factor number is the GCF number.
So the greatest common factor 55685 and 55699 is 7.

Also check out the Least Common Multiple of 55685 and 55699