What is the Greatest Common Factor of 74530 and 74546?

Greatest common factor (GCF) of 74530 and 74546 is 2.

GCF(74530,74546) = 2

We will now calculate the prime factors of 74530 and 74546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74530 and 74546.

How to find the GCF of 74530 and 74546?

We will first find the prime factorization of 74530 and 74546. After we will calculate the factors of 74530 and 74546 and find the biggest common factor number .

Step-1: Prime Factorization of 74530

Prime factors of 74530 are 2, 5, 29, 257. Prime factorization of 74530 in exponential form is:

74530 = 2¹ × 5¹ × 29¹ × 257¹

Step-2: Prime Factorization of 74546

Prime factors of 74546 are 2, 37273. Prime factorization of 74546 in exponential form is:

74546 = 2¹ × 37273¹

Step-3: Factors of 74530

List of positive integer factors of 74530 that divides 74530 without a remainder.

1, 2, 5, 10, 29, 58, 145, 257, 290, 514, 1285, 2570, 7453, 14906, 37265

Step-4: Factors of 74546

List of positive integer factors of 74546 that divides 74530 without a remainder.

1, 2, 37273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74530 and 74546. The biggest common factor number is the GCF number.
So the greatest common factor 74530 and 74546 is 2.

Also check out the Least Common Multiple of 74530 and 74546