What is the Greatest Common Factor of 74048 and 74058?

Greatest common factor (GCF) of 74048 and 74058 is 2.

GCF(74048,74058) = 2

We will now calculate the prime factors of 74048 and 74058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74048 and 74058.

How to find the GCF of 74048 and 74058?

We will first find the prime factorization of 74048 and 74058. After we will calculate the factors of 74048 and 74058 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 74058

Prime factors of 74058 are 2, 3, 12343. Prime factorization of 74058 in exponential form is:

74058 = 2¹ × 3¹ × 12343¹

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 74058

List of positive integer factors of 74058 that divides 74048 without a remainder.

1, 2, 3, 6, 12343, 24686, 37029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74048 and 74058. The biggest common factor number is the GCF number.
So the greatest common factor 74048 and 74058 is 2.

Also check out the Least Common Multiple of 74048 and 74058