What is the Greatest Common Factor of 74048 and 74054?

Greatest common factor (GCF) of 74048 and 74054 is 2.

GCF(74048,74054) = 2

We will now calculate the prime factors of 74048 and 74054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74048 and 74054.

How to find the GCF of 74048 and 74054?

We will first find the prime factorization of 74048 and 74054. After we will calculate the factors of 74048 and 74054 and find the biggest common factor number .

Step-1: Prime Factorization of 74048

Prime factors of 74048 are 2, 13, 89. Prime factorization of 74048 in exponential form is:

74048 = 2⁶ × 13¹ × 89¹

Step-2: Prime Factorization of 74054

Prime factors of 74054 are 2, 61, 607. Prime factorization of 74054 in exponential form is:

74054 = 2¹ × 61¹ × 607¹

Step-3: Factors of 74048

List of positive integer factors of 74048 that divides 74048 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 89, 104, 178, 208, 356, 416, 712, 832, 1157, 1424, 2314, 2848, 4628, 5696, 9256, 18512, 37024

Step-4: Factors of 74054

List of positive integer factors of 74054 that divides 74048 without a remainder.

1, 2, 61, 122, 607, 1214, 37027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74048 and 74054. The biggest common factor number is the GCF number.
So the greatest common factor 74048 and 74054 is 2.

Also check out the Least Common Multiple of 74048 and 74054