What is the Greatest Common Factor of 55130 and 55140?

Greatest common factor (GCF) of 55130 and 55140 is 10.

GCF(55130,55140) = 10

We will now calculate the prime factors of 55130 and 55140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55130 and 55140.

How to find the GCF of 55130 and 55140?

We will first find the prime factorization of 55130 and 55140. After we will calculate the factors of 55130 and 55140 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 55140

Prime factors of 55140 are 2, 3, 5, 919. Prime factorization of 55140 in exponential form is:

55140 = 2² × 3¹ × 5¹ × 919¹

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 55140

List of positive integer factors of 55140 that divides 55130 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 919, 1838, 2757, 3676, 4595, 5514, 9190, 11028, 13785, 18380, 27570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55130 and 55140. The biggest common factor number is the GCF number.
So the greatest common factor 55130 and 55140 is 10.

Also check out the Least Common Multiple of 55130 and 55140