What is the Greatest Common Factor of 44442 and 44462?

Greatest common factor (GCF) of 44442 and 44462 is 2.

GCF(44442,44462) = 2

We will now calculate the prime factors of 44442 and 44462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44442 and 44462.

How to find the GCF of 44442 and 44462?

We will first find the prime factorization of 44442 and 44462. After we will calculate the factors of 44442 and 44462 and find the biggest common factor number .

Step-1: Prime Factorization of 44442

Prime factors of 44442 are 2, 3, 823. Prime factorization of 44442 in exponential form is:

44442 = 2¹ × 3³ × 823¹

Step-2: Prime Factorization of 44462

Prime factors of 44462 are 2, 11, 43, 47. Prime factorization of 44462 in exponential form is:

44462 = 2¹ × 11¹ × 43¹ × 47¹

Step-3: Factors of 44442

List of positive integer factors of 44442 that divides 44442 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 823, 1646, 2469, 4938, 7407, 14814, 22221

Step-4: Factors of 44462

List of positive integer factors of 44462 that divides 44442 without a remainder.

1, 2, 11, 22, 43, 47, 86, 94, 473, 517, 946, 1034, 2021, 4042, 22231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44442 and 44462. The biggest common factor number is the GCF number.
So the greatest common factor 44442 and 44462 is 2.

Also check out the Least Common Multiple of 44442 and 44462