What is the Greatest Common Factor of 74072 and 74084?

Greatest common factor (GCF) of 74072 and 74084 is 4.

GCF(74072,74084) = 4

We will now calculate the prime factors of 74072 and 74084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74072 and 74084.

How to find the GCF of 74072 and 74084?

We will first find the prime factorization of 74072 and 74084. After we will calculate the factors of 74072 and 74084 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 74084

Prime factors of 74084 are 2, 18521. Prime factorization of 74084 in exponential form is:

74084 = 2² × 18521¹

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 74084

List of positive integer factors of 74084 that divides 74072 without a remainder.

1, 2, 4, 18521, 37042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74072 and 74084. The biggest common factor number is the GCF number.
So the greatest common factor 74072 and 74084 is 4.

Also check out the Least Common Multiple of 74072 and 74084