What is the Greatest Common Factor of 55140 and 55153?

Greatest common factor (GCF) of 55140 and 55153 is 1.

GCF(55140,55153) = 1

We will now calculate the prime factors of 55140 and 55153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55140 and 55153.

How to find the GCF of 55140 and 55153?

We will first find the prime factorization of 55140 and 55153. After we will calculate the factors of 55140 and 55153 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55153

Prime factors of 55153 are 7, 7879. Prime factorization of 55153 in exponential form is:

55153 = 7¹ × 7879¹

Step-3: Factors of 55140

List of positive integer factors of 55140 that divides 55140 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

Step-4: Factors of 55153

List of positive integer factors of 55153 that divides 55140 without a remainder.

1, 7, 7879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55140 and 55153. The biggest common factor number is the GCF number.
So the greatest common factor 55140 and 55153 is 1.

Also check out the Least Common Multiple of 55140 and 55153