What is the Greatest Common Factor of 74048 and 74064?

Greatest common factor (GCF) of 74048 and 74064 is 16.

GCF(74048,74064) = 16

We will now calculate the prime factors of 74048 and 74064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74048 and 74064.

How to find the GCF of 74048 and 74064?

We will first find the prime factorization of 74048 and 74064. After we will calculate the factors of 74048 and 74064 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 74064

Prime factors of 74064 are 2, 3, 1543. Prime factorization of 74064 in exponential form is:

74064 = 2⁴ × 3¹ × 1543¹

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 74064

List of positive integer factors of 74064 that divides 74048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1543, 3086, 4629, 6172, 9258, 12344, 18516, 24688, 37032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74048 and 74064. The biggest common factor number is the GCF number.
So the greatest common factor 74048 and 74064 is 16.

Also check out the Least Common Multiple of 74048 and 74064