What is the Greatest Common Factor of 50605 and 50624?

Greatest common factor (GCF) of 50605 and 50624 is 1.

GCF(50605,50624) = 1

We will now calculate the prime factors of 50605 and 50624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50605 and 50624.

How to find the GCF of 50605 and 50624?

We will first find the prime factorization of 50605 and 50624. After we will calculate the factors of 50605 and 50624 and find the biggest common factor number .

Step-1: Prime Factorization of 50605

Prime factors of 50605 are 5, 29, 349. Prime factorization of 50605 in exponential form is:

50605 = 5¹ × 29¹ × 349¹

Step-2: 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-3: Factors of 50605

List of positive integer factors of 50605 that divides 50605 without a remainder.

1, 5, 29, 145, 349, 1745, 10121

Step-4: Factors of 50624

List of positive integer factors of 50624 that divides 50605 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50605 and 50624. The biggest common factor number is the GCF number.
So the greatest common factor 50605 and 50624 is 1.

Also check out the Least Common Multiple of 50605 and 50624