What is the Greatest Common Factor of 38626 and 38639?

Greatest common factor (GCF) of 38626 and 38639 is 1.

GCF(38626,38639) = 1

We will now calculate the prime factors of 38626 and 38639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38626 and 38639.

How to find the GCF of 38626 and 38639?

We will first find the prime factorization of 38626 and 38639. After we will calculate the factors of 38626 and 38639 and find the biggest common factor number .

Step-1: Prime Factorization of 38626

Prime factors of 38626 are 2, 7, 31, 89. Prime factorization of 38626 in exponential form is:

38626 = 2¹ × 7¹ × 31¹ × 89¹

Step-2: Prime Factorization of 38639

Prime factors of 38639 are 38639. Prime factorization of 38639 in exponential form is:

38639 = 38639¹

Step-3: Factors of 38626

List of positive integer factors of 38626 that divides 38626 without a remainder.

1, 2, 7, 14, 31, 62, 89, 178, 217, 434, 623, 1246, 2759, 5518, 19313

Step-4: Factors of 38639

List of positive integer factors of 38639 that divides 38626 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38626 and 38639. The biggest common factor number is the GCF number.
So the greatest common factor 38626 and 38639 is 1.

Also check out the Least Common Multiple of 38626 and 38639