What is the Greatest Common Factor of 55125 and 55140?

Greatest common factor (GCF) of 55125 and 55140 is 15.

GCF(55125,55140) = 15

We will now calculate the prime factors of 55125 and 55140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55125 and 55140.

How to find the GCF of 55125 and 55140?

We will first find the prime factorization of 55125 and 55140. After we will calculate the factors of 55125 and 55140 and find the biggest common factor number .

Step-1: 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-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 55125

List of positive integer factors of 55125 that divides 55125 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

Step-4: Factors of 55140

List of positive integer factors of 55140 that divides 55125 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 55125 and 55140. The biggest common factor number is the GCF number.
So the greatest common factor 55125 and 55140 is 15.

Also check out the Least Common Multiple of 55125 and 55140