What is the Greatest Common Factor of 62583 and 62601?

Greatest common factor (GCF) of 62583 and 62601 is 3.

GCF(62583,62601) = 3

We will now calculate the prime factors of 62583 and 62601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62583 and 62601.

How to find the GCF of 62583 and 62601?

We will first find the prime factorization of 62583 and 62601. After we will calculate the factors of 62583 and 62601 and find the biggest common factor number .

Step-1: Prime Factorization of 62583

Prime factors of 62583 are 3, 23, 907. Prime factorization of 62583 in exponential form is:

62583 = 3¹ × 23¹ × 907¹

Step-2: Prime Factorization of 62601

Prime factors of 62601 are 3, 7, 11, 271. Prime factorization of 62601 in exponential form is:

62601 = 3¹ × 7¹ × 11¹ × 271¹

Step-3: Factors of 62583

List of positive integer factors of 62583 that divides 62583 without a remainder.

1, 3, 23, 69, 907, 2721, 20861

Step-4: Factors of 62601

List of positive integer factors of 62601 that divides 62583 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 271, 813, 1897, 2981, 5691, 8943, 20867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62583 and 62601. The biggest common factor number is the GCF number.
So the greatest common factor 62583 and 62601 is 3.

Also check out the Least Common Multiple of 62583 and 62601