What is the Greatest Common Factor of 62331 and 62349?

Greatest common factor (GCF) of 62331 and 62349 is 3.

GCF(62331,62349) = 3

We will now calculate the prime factors of 62331 and 62349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62331 and 62349.

How to find the GCF of 62331 and 62349?

We will first find the prime factorization of 62331 and 62349. After we will calculate the factors of 62331 and 62349 and find the biggest common factor number .

Step-1: Prime Factorization of 62331

Prime factors of 62331 are 3, 79, 263. Prime factorization of 62331 in exponential form is:

62331 = 3¹ × 79¹ × 263¹

Step-2: Prime Factorization of 62349

Prime factors of 62349 are 3, 7, 2969. Prime factorization of 62349 in exponential form is:

62349 = 3¹ × 7¹ × 2969¹

Step-3: Factors of 62331

List of positive integer factors of 62331 that divides 62331 without a remainder.

1, 3, 79, 237, 263, 789, 20777

Step-4: Factors of 62349

List of positive integer factors of 62349 that divides 62331 without a remainder.

1, 3, 7, 21, 2969, 8907, 20783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62331 and 62349. The biggest common factor number is the GCF number.
So the greatest common factor 62331 and 62349 is 3.

Also check out the Least Common Multiple of 62331 and 62349