What is the Greatest Common Factor of 74072 and 74080?

Greatest common factor (GCF) of 74072 and 74080 is 8.

GCF(74072,74080) = 8

We will now calculate the prime factors of 74072 and 74080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74072 and 74080.

How to find the GCF of 74072 and 74080?

We will first find the prime factorization of 74072 and 74080. After we will calculate the factors of 74072 and 74080 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74080

Prime factors of 74080 are 2, 5, 463. Prime factorization of 74080 in exponential form is:

74080 = 2⁵ × 5¹ × 463¹

Step-3: Factors of 74072

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

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

Step-4: Factors of 74080

List of positive integer factors of 74080 that divides 74072 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 463, 926, 1852, 2315, 3704, 4630, 7408, 9260, 14816, 18520, 37040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74072 and 74080. The biggest common factor number is the GCF number.
So the greatest common factor 74072 and 74080 is 8.

Also check out the Least Common Multiple of 74072 and 74080