What is the Greatest Common Factor of 49428 and 49442?

Greatest common factor (GCF) of 49428 and 49442 is 2.

GCF(49428,49442) = 2

We will now calculate the prime factors of 49428 and 49442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49428 and 49442.

How to find the GCF of 49428 and 49442?

We will first find the prime factorization of 49428 and 49442. After we will calculate the factors of 49428 and 49442 and find the biggest common factor number .

Step-1: Prime Factorization of 49428

Prime factors of 49428 are 2, 3, 1373. Prime factorization of 49428 in exponential form is:

49428 = 2² × 3² × 1373¹

Step-2: Prime Factorization of 49442

Prime factors of 49442 are 2, 59, 419. Prime factorization of 49442 in exponential form is:

49442 = 2¹ × 59¹ × 419¹

Step-3: Factors of 49428

List of positive integer factors of 49428 that divides 49428 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1373, 2746, 4119, 5492, 8238, 12357, 16476, 24714

Step-4: Factors of 49442

List of positive integer factors of 49442 that divides 49428 without a remainder.

1, 2, 59, 118, 419, 838, 24721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49428 and 49442. The biggest common factor number is the GCF number.
So the greatest common factor 49428 and 49442 is 2.

Also check out the Least Common Multiple of 49428 and 49442