What is the Greatest Common Factor of 50624 and 50638?

Greatest common factor (GCF) of 50624 and 50638 is 14.

GCF(50624,50638) = 14

We will now calculate the prime factors of 50624 and 50638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50624 and 50638.

How to find the GCF of 50624 and 50638?

We will first find the prime factorization of 50624 and 50638. After we will calculate the factors of 50624 and 50638 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 50638

Prime factors of 50638 are 2, 7, 3617. Prime factorization of 50638 in exponential form is:

50638 = 2¹ × 7¹ × 3617¹

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 50638

List of positive integer factors of 50638 that divides 50624 without a remainder.

1, 2, 7, 14, 3617, 7234, 25319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50624 and 50638. The biggest common factor number is the GCF number.
So the greatest common factor 50624 and 50638 is 14.

Also check out the Least Common Multiple of 50624 and 50638