What is the Greatest Common Factor of 55130 and 55142?

Greatest common factor (GCF) of 55130 and 55142 is 2.

GCF(55130,55142) = 2

We will now calculate the prime factors of 55130 and 55142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55130 and 55142.

How to find the GCF of 55130 and 55142?

We will first find the prime factorization of 55130 and 55142. After we will calculate the factors of 55130 and 55142 and find the biggest common factor number .

Step-1: Prime Factorization of 55130

Prime factors of 55130 are 2, 5, 37, 149. Prime factorization of 55130 in exponential form is:

55130 = 2¹ × 5¹ × 37¹ × 149¹

Step-2: Prime Factorization of 55142

Prime factors of 55142 are 2, 79, 349. Prime factorization of 55142 in exponential form is:

55142 = 2¹ × 79¹ × 349¹

Step-3: Factors of 55130

List of positive integer factors of 55130 that divides 55130 without a remainder.

1, 2, 5, 10, 37, 74, 149, 185, 298, 370, 745, 1490, 5513, 11026, 27565

Step-4: Factors of 55142

List of positive integer factors of 55142 that divides 55130 without a remainder.

1, 2, 79, 158, 349, 698, 27571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55130 and 55142. The biggest common factor number is the GCF number.
So the greatest common factor 55130 and 55142 is 2.

Also check out the Least Common Multiple of 55130 and 55142