What is the Greatest Common Factor of 52729 and 52736?

Greatest common factor (GCF) of 52729 and 52736 is 1.

GCF(52729,52736) = 1

We will now calculate the prime factors of 52729 and 52736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52729 and 52736.

How to find the GCF of 52729 and 52736?

We will first find the prime factorization of 52729 and 52736. After we will calculate the factors of 52729 and 52736 and find the biggest common factor number .

Step-1: Prime Factorization of 52729

Prime factors of 52729 are 67, 787. Prime factorization of 52729 in exponential form is:

52729 = 67¹ × 787¹

Step-2: Prime Factorization of 52736

Prime factors of 52736 are 2, 103. Prime factorization of 52736 in exponential form is:

52736 = 2⁹ × 103¹

Step-3: Factors of 52729

List of positive integer factors of 52729 that divides 52729 without a remainder.

1, 67, 787

Step-4: Factors of 52736

List of positive integer factors of 52736 that divides 52729 without a remainder.

1, 2, 4, 8, 16, 32, 64, 103, 128, 206, 256, 412, 512, 824, 1648, 3296, 6592, 13184, 26368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52729 and 52736. The biggest common factor number is the GCF number.
So the greatest common factor 52729 and 52736 is 1.

Also check out the Least Common Multiple of 52729 and 52736