What is the Greatest Common Factor of 50729 and 50736?

Greatest common factor (GCF) of 50729 and 50736 is 7.

GCF(50729,50736) = 7

We will now calculate the prime factors of 50729 and 50736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50729 and 50736.

How to find the GCF of 50729 and 50736?

We will first find the prime factorization of 50729 and 50736. After we will calculate the factors of 50729 and 50736 and find the biggest common factor number .

Step-1: Prime Factorization of 50729

Prime factors of 50729 are 7, 7247. Prime factorization of 50729 in exponential form is:

50729 = 7¹ × 7247¹

Step-2: Prime Factorization of 50736

Prime factors of 50736 are 2, 3, 7, 151. Prime factorization of 50736 in exponential form is:

50736 = 2⁴ × 3¹ × 7¹ × 151¹

Step-3: Factors of 50729

List of positive integer factors of 50729 that divides 50729 without a remainder.

1, 7, 7247

Step-4: Factors of 50736

List of positive integer factors of 50736 that divides 50729 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 151, 168, 302, 336, 453, 604, 906, 1057, 1208, 1812, 2114, 2416, 3171, 3624, 4228, 6342, 7248, 8456, 12684, 16912, 25368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50729 and 50736. The biggest common factor number is the GCF number.
So the greatest common factor 50729 and 50736 is 7.

Also check out the Least Common Multiple of 50729 and 50736