What is the Greatest Common Factor of 59420 and 59438?

Greatest common factor (GCF) of 59420 and 59438 is 2.

GCF(59420,59438) = 2

We will now calculate the prime factors of 59420 and 59438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59420 and 59438.

How to find the GCF of 59420 and 59438?

We will first find the prime factorization of 59420 and 59438. After we will calculate the factors of 59420 and 59438 and find the biggest common factor number .

Step-1: Prime Factorization of 59420

Prime factors of 59420 are 2, 5, 2971. Prime factorization of 59420 in exponential form is:

59420 = 2² × 5¹ × 2971¹

Step-2: Prime Factorization of 59438

Prime factors of 59438 are 2, 113, 263. Prime factorization of 59438 in exponential form is:

59438 = 2¹ × 113¹ × 263¹

Step-3: Factors of 59420

List of positive integer factors of 59420 that divides 59420 without a remainder.

1, 2, 4, 5, 10, 20, 2971, 5942, 11884, 14855, 29710

Step-4: Factors of 59438

List of positive integer factors of 59438 that divides 59420 without a remainder.

1, 2, 113, 226, 263, 526, 29719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59420 and 59438. The biggest common factor number is the GCF number.
So the greatest common factor 59420 and 59438 is 2.

Also check out the Least Common Multiple of 59420 and 59438