What is the Greatest Common Factor of 72821 and 72835?

Greatest common factor (GCF) of 72821 and 72835 is 7.

GCF(72821,72835) = 7

We will now calculate the prime factors of 72821 and 72835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72821 and 72835.

How to find the GCF of 72821 and 72835?

We will first find the prime factorization of 72821 and 72835. After we will calculate the factors of 72821 and 72835 and find the biggest common factor number .

Step-1: Prime Factorization of 72821

Prime factors of 72821 are 7, 101, 103. Prime factorization of 72821 in exponential form is:

72821 = 7¹ × 101¹ × 103¹

Step-2: Prime Factorization of 72835

Prime factors of 72835 are 5, 7, 2081. Prime factorization of 72835 in exponential form is:

72835 = 5¹ × 7¹ × 2081¹

Step-3: Factors of 72821

List of positive integer factors of 72821 that divides 72821 without a remainder.

1, 7, 101, 103, 707, 721, 10403

Step-4: Factors of 72835

List of positive integer factors of 72835 that divides 72821 without a remainder.

1, 5, 7, 35, 2081, 10405, 14567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72821 and 72835. The biggest common factor number is the GCF number.
So the greatest common factor 72821 and 72835 is 7.

Also check out the Least Common Multiple of 72821 and 72835