What is the Greatest Common Factor of 49552 and 49562?

Greatest common factor (GCF) of 49552 and 49562 is 2.

GCF(49552,49562) = 2

We will now calculate the prime factors of 49552 and 49562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49552 and 49562.

How to find the GCF of 49552 and 49562?

We will first find the prime factorization of 49552 and 49562. After we will calculate the factors of 49552 and 49562 and find the biggest common factor number .

Step-1: Prime Factorization of 49552

Prime factors of 49552 are 2, 19, 163. Prime factorization of 49552 in exponential form is:

49552 = 2⁴ × 19¹ × 163¹

Step-2: Prime Factorization of 49562

Prime factors of 49562 are 2, 24781. Prime factorization of 49562 in exponential form is:

49562 = 2¹ × 24781¹

Step-3: Factors of 49552

List of positive integer factors of 49552 that divides 49552 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 163, 304, 326, 652, 1304, 2608, 3097, 6194, 12388, 24776

Step-4: Factors of 49562

List of positive integer factors of 49562 that divides 49552 without a remainder.

1, 2, 24781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49552 and 49562. The biggest common factor number is the GCF number.
So the greatest common factor 49552 and 49562 is 2.

Also check out the Least Common Multiple of 49552 and 49562