What is the Greatest Common Factor of 55074 and 55078?

Greatest common factor (GCF) of 55074 and 55078 is 2.

GCF(55074,55078) = 2

We will now calculate the prime factors of 55074 and 55078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55074 and 55078.

How to find the GCF of 55074 and 55078?

We will first find the prime factorization of 55074 and 55078. After we will calculate the factors of 55074 and 55078 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55078

Prime factors of 55078 are 2, 27539. Prime factorization of 55078 in exponential form is:

55078 = 2¹ × 27539¹

Step-3: Factors of 55074

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

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

Step-4: Factors of 55078

List of positive integer factors of 55078 that divides 55074 without a remainder.

1, 2, 27539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55074 and 55078. The biggest common factor number is the GCF number.
So the greatest common factor 55074 and 55078 is 2.

Also check out the Least Common Multiple of 55074 and 55078