What is the Greatest Common Factor of 62937 and 62949?

Greatest common factor (GCF) of 62937 and 62949 is 3.

GCF(62937,62949) = 3

We will now calculate the prime factors of 62937 and 62949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62937 and 62949.

How to find the GCF of 62937 and 62949?

We will first find the prime factorization of 62937 and 62949. After we will calculate the factors of 62937 and 62949 and find the biggest common factor number .

Step-1: Prime Factorization of 62937

Prime factors of 62937 are 3, 7, 37. Prime factorization of 62937 in exponential form is:

62937 = 3⁵ × 7¹ × 37¹

Step-2: Prime Factorization of 62949

Prime factors of 62949 are 3, 20983. Prime factorization of 62949 in exponential form is:

62949 = 3¹ × 20983¹

Step-3: Factors of 62937

List of positive integer factors of 62937 that divides 62937 without a remainder.

1, 3, 7, 9, 21, 27, 37, 63, 81, 111, 189, 243, 259, 333, 567, 777, 999, 1701, 2331, 2997, 6993, 8991, 20979

Step-4: Factors of 62949

List of positive integer factors of 62949 that divides 62937 without a remainder.

1, 3, 20983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62937 and 62949. The biggest common factor number is the GCF number.
So the greatest common factor 62937 and 62949 is 3.

Also check out the Least Common Multiple of 62937 and 62949