What is the Greatest Common Factor of 74446 and 74462?

Greatest common factor (GCF) of 74446 and 74462 is 2.

GCF(74446,74462) = 2

We will now calculate the prime factors of 74446 and 74462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74446 and 74462.

How to find the GCF of 74446 and 74462?

We will first find the prime factorization of 74446 and 74462. After we will calculate the factors of 74446 and 74462 and find the biggest common factor number .

Step-1: Prime Factorization of 74446

Prime factors of 74446 are 2, 37223. Prime factorization of 74446 in exponential form is:

74446 = 2¹ × 37223¹

Step-2: Prime Factorization of 74462

Prime factors of 74462 are 2, 31, 1201. Prime factorization of 74462 in exponential form is:

74462 = 2¹ × 31¹ × 1201¹

Step-3: Factors of 74446

List of positive integer factors of 74446 that divides 74446 without a remainder.

1, 2, 37223

Step-4: Factors of 74462

List of positive integer factors of 74462 that divides 74446 without a remainder.

1, 2, 31, 62, 1201, 2402, 37231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74446 and 74462. The biggest common factor number is the GCF number.
So the greatest common factor 74446 and 74462 is 2.

Also check out the Least Common Multiple of 74446 and 74462