What is the Greatest Common Factor of 55118 and 55125?

Greatest common factor (GCF) of 55118 and 55125 is 7.

GCF(55118,55125) = 7

We will now calculate the prime factors of 55118 and 55125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55118 and 55125.

How to find the GCF of 55118 and 55125?

We will first find the prime factorization of 55118 and 55125. After we will calculate the factors of 55118 and 55125 and find the biggest common factor number .

Step-1: Prime Factorization of 55118

Prime factors of 55118 are 2, 7, 31, 127. Prime factorization of 55118 in exponential form is:

55118 = 2¹ × 7¹ × 31¹ × 127¹

Step-2: Prime Factorization of 55125

Prime factors of 55125 are 3, 5, 7. Prime factorization of 55125 in exponential form is:

55125 = 3² × 5³ × 7²

Step-3: Factors of 55118

List of positive integer factors of 55118 that divides 55118 without a remainder.

1, 2, 7, 14, 31, 62, 127, 217, 254, 434, 889, 1778, 3937, 7874, 27559

Step-4: Factors of 55125

List of positive integer factors of 55125 that divides 55118 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 125, 147, 175, 225, 245, 315, 375, 441, 525, 735, 875, 1125, 1225, 1575, 2205, 2625, 3675, 6125, 7875, 11025, 18375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55118 and 55125. The biggest common factor number is the GCF number.
So the greatest common factor 55118 and 55125 is 7.

Also check out the Least Common Multiple of 55118 and 55125