What is the Greatest Common Factor of 54015 and 54035?

Greatest common factor (GCF) of 54015 and 54035 is 5.

GCF(54015,54035) = 5

We will now calculate the prime factors of 54015 and 54035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54015 and 54035.

How to find the GCF of 54015 and 54035?

We will first find the prime factorization of 54015 and 54035. After we will calculate the factors of 54015 and 54035 and find the biggest common factor number .

Step-1: Prime Factorization of 54015

Prime factors of 54015 are 3, 5, 13, 277. Prime factorization of 54015 in exponential form is:

54015 = 3¹ × 5¹ × 13¹ × 277¹

Step-2: Prime Factorization of 54035

Prime factors of 54035 are 5, 101, 107. Prime factorization of 54035 in exponential form is:

54035 = 5¹ × 101¹ × 107¹

Step-3: Factors of 54015

List of positive integer factors of 54015 that divides 54015 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 277, 831, 1385, 3601, 4155, 10803, 18005

Step-4: Factors of 54035

List of positive integer factors of 54035 that divides 54015 without a remainder.

1, 5, 101, 107, 505, 535, 10807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54015 and 54035. The biggest common factor number is the GCF number.
So the greatest common factor 54015 and 54035 is 5.

Also check out the Least Common Multiple of 54015 and 54035