What is the Greatest Common Factor of 50624 and 50644?

Greatest common factor (GCF) of 50624 and 50644 is 4.

GCF(50624,50644) = 4

We will now calculate the prime factors of 50624 and 50644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50624 and 50644.

How to find the GCF of 50624 and 50644?

We will first find the prime factorization of 50624 and 50644. After we will calculate the factors of 50624 and 50644 and find the biggest common factor number .

Step-1: Prime Factorization of 50624

Prime factors of 50624 are 2, 7, 113. Prime factorization of 50624 in exponential form is:

50624 = 2⁶ × 7¹ × 113¹

Step-2: Prime Factorization of 50644

Prime factors of 50644 are 2, 11, 1151. Prime factorization of 50644 in exponential form is:

50644 = 2² × 11¹ × 1151¹

Step-3: Factors of 50624

List of positive integer factors of 50624 that divides 50624 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 113, 224, 226, 448, 452, 791, 904, 1582, 1808, 3164, 3616, 6328, 7232, 12656, 25312

Step-4: Factors of 50644

List of positive integer factors of 50644 that divides 50624 without a remainder.

1, 2, 4, 11, 22, 44, 1151, 2302, 4604, 12661, 25322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50624 and 50644. The biggest common factor number is the GCF number.
So the greatest common factor 50624 and 50644 is 4.

Also check out the Least Common Multiple of 50624 and 50644