What is the Greatest Common Factor of 72829 and 72848?

Greatest common factor (GCF) of 72829 and 72848 is 1.

GCF(72829,72848) = 1

We will now calculate the prime factors of 72829 and 72848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72829 and 72848.

How to find the GCF of 72829 and 72848?

We will first find the prime factorization of 72829 and 72848. After we will calculate the factors of 72829 and 72848 and find the biggest common factor number .

Step-1: Prime Factorization of 72829

Prime factors of 72829 are 67, 1087. Prime factorization of 72829 in exponential form is:

72829 = 67¹ × 1087¹

Step-2: Prime Factorization of 72848

Prime factors of 72848 are 2, 29, 157. Prime factorization of 72848 in exponential form is:

72848 = 2⁴ × 29¹ × 157¹

Step-3: Factors of 72829

List of positive integer factors of 72829 that divides 72829 without a remainder.

1, 67, 1087

Step-4: Factors of 72848

List of positive integer factors of 72848 that divides 72829 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 157, 232, 314, 464, 628, 1256, 2512, 4553, 9106, 18212, 36424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72829 and 72848. The biggest common factor number is the GCF number.
So the greatest common factor 72829 and 72848 is 1.

Also check out the Least Common Multiple of 72829 and 72848