What is the Greatest Common Factor of 55065 and 55074?

Greatest common factor (GCF) of 55065 and 55074 is 3.

GCF(55065,55074) = 3

We will now calculate the prime factors of 55065 and 55074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55065 and 55074.

How to find the GCF of 55065 and 55074?

We will first find the prime factorization of 55065 and 55074. After we will calculate the factors of 55065 and 55074 and find the biggest common factor number .

Step-1: Prime Factorization of 55065

Prime factors of 55065 are 3, 5, 3671. Prime factorization of 55065 in exponential form is:

55065 = 3¹ × 5¹ × 3671¹

Step-2: Prime Factorization of 55074

Prime factors of 55074 are 2, 3, 67, 137. Prime factorization of 55074 in exponential form is:

55074 = 2¹ × 3¹ × 67¹ × 137¹

Step-3: Factors of 55065

List of positive integer factors of 55065 that divides 55065 without a remainder.

1, 3, 5, 15, 3671, 11013, 18355

Step-4: Factors of 55074

List of positive integer factors of 55074 that divides 55065 without a remainder.

1, 2, 3, 6, 67, 134, 137, 201, 274, 402, 411, 822, 9179, 18358, 27537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55065 and 55074. The biggest common factor number is the GCF number.
So the greatest common factor 55065 and 55074 is 3.

Also check out the Least Common Multiple of 55065 and 55074