What is the Greatest Common Factor of 59038 and 59042?

Greatest common factor (GCF) of 59038 and 59042 is 2.

GCF(59038,59042) = 2

We will now calculate the prime factors of 59038 and 59042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59038 and 59042.

How to find the GCF of 59038 and 59042?

We will first find the prime factorization of 59038 and 59042. After we will calculate the factors of 59038 and 59042 and find the biggest common factor number .

Step-1: Prime Factorization of 59038

Prime factors of 59038 are 2, 7, 4217. Prime factorization of 59038 in exponential form is:

59038 = 2¹ × 7¹ × 4217¹

Step-2: Prime Factorization of 59042

Prime factors of 59042 are 2, 53, 557. Prime factorization of 59042 in exponential form is:

59042 = 2¹ × 53¹ × 557¹

Step-3: Factors of 59038

List of positive integer factors of 59038 that divides 59038 without a remainder.

1, 2, 7, 14, 4217, 8434, 29519

Step-4: Factors of 59042

List of positive integer factors of 59042 that divides 59038 without a remainder.

1, 2, 53, 106, 557, 1114, 29521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59038 and 59042. The biggest common factor number is the GCF number.
So the greatest common factor 59038 and 59042 is 2.

Also check out the Least Common Multiple of 59038 and 59042