What is the Greatest Common Factor of 62034 and 62049?

Greatest common factor (GCF) of 62034 and 62049 is 3.

GCF(62034,62049) = 3

We will now calculate the prime factors of 62034 and 62049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62034 and 62049.

How to find the GCF of 62034 and 62049?

We will first find the prime factorization of 62034 and 62049. After we will calculate the factors of 62034 and 62049 and find the biggest common factor number .

Step-1: Prime Factorization of 62034

Prime factors of 62034 are 2, 3, 7, 211. Prime factorization of 62034 in exponential form is:

62034 = 2¹ × 3¹ × 7² × 211¹

Step-2: Prime Factorization of 62049

Prime factors of 62049 are 3, 13, 37, 43. Prime factorization of 62049 in exponential form is:

62049 = 3¹ × 13¹ × 37¹ × 43¹

Step-3: Factors of 62034

List of positive integer factors of 62034 that divides 62034 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 211, 294, 422, 633, 1266, 1477, 2954, 4431, 8862, 10339, 20678, 31017

Step-4: Factors of 62049

List of positive integer factors of 62049 that divides 62034 without a remainder.

1, 3, 13, 37, 39, 43, 111, 129, 481, 559, 1443, 1591, 1677, 4773, 20683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62034 and 62049. The biggest common factor number is the GCF number.
So the greatest common factor 62034 and 62049 is 3.

Also check out the Least Common Multiple of 62034 and 62049