What is the Greatest Common Factor of 38626 and 38630?

Greatest common factor (GCF) of 38626 and 38630 is 2.

GCF(38626,38630) = 2

We will now calculate the prime factors of 38626 and 38630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38626 and 38630.

How to find the GCF of 38626 and 38630?

We will first find the prime factorization of 38626 and 38630. After we will calculate the factors of 38626 and 38630 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 38630

Prime factors of 38630 are 2, 5, 3863. Prime factorization of 38630 in exponential form is:

38630 = 2¹ × 5¹ × 3863¹

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 38630

List of positive integer factors of 38630 that divides 38626 without a remainder.

1, 2, 5, 10, 3863, 7726, 19315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38626 and 38630. The biggest common factor number is the GCF number.
So the greatest common factor 38626 and 38630 is 2.

Also check out the Least Common Multiple of 38626 and 38630