What is the Greatest Common Factor of 62059 and 62072?

Greatest common factor (GCF) of 62059 and 62072 is 1.

GCF(62059,62072) = 1

We will now calculate the prime factors of 62059 and 62072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62059 and 62072.

How to find the GCF of 62059 and 62072?

We will first find the prime factorization of 62059 and 62072. After we will calculate the factors of 62059 and 62072 and find the biggest common factor number .

Step-1: Prime Factorization of 62059

Prime factors of 62059 are 229, 271. Prime factorization of 62059 in exponential form is:

62059 = 229¹ × 271¹

Step-2: Prime Factorization of 62072

Prime factors of 62072 are 2, 7759. Prime factorization of 62072 in exponential form is:

62072 = 2³ × 7759¹

Step-3: Factors of 62059

List of positive integer factors of 62059 that divides 62059 without a remainder.

1, 229, 271

Step-4: Factors of 62072

List of positive integer factors of 62072 that divides 62059 without a remainder.

1, 2, 4, 8, 7759, 15518, 31036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62059 and 62072. The biggest common factor number is the GCF number.
So the greatest common factor 62059 and 62072 is 1.

Also check out the Least Common Multiple of 62059 and 62072