What is the Greatest Common Factor of 54074 and 54088?

Greatest common factor (GCF) of 54074 and 54088 is 2.

GCF(54074,54088) = 2

We will now calculate the prime factors of 54074 and 54088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54074 and 54088.

How to find the GCF of 54074 and 54088?

We will first find the prime factorization of 54074 and 54088. After we will calculate the factors of 54074 and 54088 and find the biggest common factor number .

Step-1: Prime Factorization of 54074

Prime factors of 54074 are 2, 19, 1423. Prime factorization of 54074 in exponential form is:

54074 = 2¹ × 19¹ × 1423¹

Step-2: Prime Factorization of 54088

Prime factors of 54088 are 2, 6761. Prime factorization of 54088 in exponential form is:

54088 = 2³ × 6761¹

Step-3: Factors of 54074

List of positive integer factors of 54074 that divides 54074 without a remainder.

1, 2, 19, 38, 1423, 2846, 27037

Step-4: Factors of 54088

List of positive integer factors of 54088 that divides 54074 without a remainder.

1, 2, 4, 8, 6761, 13522, 27044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54074 and 54088. The biggest common factor number is the GCF number.
So the greatest common factor 54074 and 54088 is 2.

Also check out the Least Common Multiple of 54074 and 54088