What is the Greatest Common Factor of 74414 and 74430?

Greatest common factor (GCF) of 74414 and 74430 is 2.

GCF(74414,74430) = 2

We will now calculate the prime factors of 74414 and 74430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74414 and 74430.

How to find the GCF of 74414 and 74430?

We will first find the prime factorization of 74414 and 74430. After we will calculate the factors of 74414 and 74430 and find the biggest common factor number .

Step-1: Prime Factorization of 74414

Prime factors of 74414 are 2, 29, 1283. Prime factorization of 74414 in exponential form is:

74414 = 2¹ × 29¹ × 1283¹

Step-2: Prime Factorization of 74430

Prime factors of 74430 are 2, 3, 5, 827. Prime factorization of 74430 in exponential form is:

74430 = 2¹ × 3² × 5¹ × 827¹

Step-3: Factors of 74414

List of positive integer factors of 74414 that divides 74414 without a remainder.

1, 2, 29, 58, 1283, 2566, 37207

Step-4: Factors of 74430

List of positive integer factors of 74430 that divides 74414 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 827, 1654, 2481, 4135, 4962, 7443, 8270, 12405, 14886, 24810, 37215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74414 and 74430. The biggest common factor number is the GCF number.
So the greatest common factor 74414 and 74430 is 2.

Also check out the Least Common Multiple of 74414 and 74430