What is the Greatest Common Factor of 74054 and 74072?

Greatest common factor (GCF) of 74054 and 74072 is 2.

GCF(74054,74072) = 2

We will now calculate the prime factors of 74054 and 74072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74054 and 74072.

How to find the GCF of 74054 and 74072?

We will first find the prime factorization of 74054 and 74072. After we will calculate the factors of 74054 and 74072 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74072

Prime factors of 74072 are 2, 47, 197. Prime factorization of 74072 in exponential form is:

74072 = 2³ × 47¹ × 197¹

Step-3: Factors of 74054

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

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

Step-4: Factors of 74072

List of positive integer factors of 74072 that divides 74054 without a remainder.

1, 2, 4, 8, 47, 94, 188, 197, 376, 394, 788, 1576, 9259, 18518, 37036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74054 and 74072. The biggest common factor number is the GCF number.
So the greatest common factor 74054 and 74072 is 2.

Also check out the Least Common Multiple of 74054 and 74072