What is the Greatest Common Factor of 38608 and 38626?

Greatest common factor (GCF) of 38608 and 38626 is 2.

GCF(38608,38626) = 2

We will now calculate the prime factors of 38608 and 38626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38608 and 38626.

How to find the GCF of 38608 and 38626?

We will first find the prime factorization of 38608 and 38626. After we will calculate the factors of 38608 and 38626 and find the biggest common factor number .

Step-1: Prime Factorization of 38608

Prime factors of 38608 are 2, 19, 127. Prime factorization of 38608 in exponential form is:

38608 = 2⁴ × 19¹ × 127¹

Step-2: 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-3: Factors of 38608

List of positive integer factors of 38608 that divides 38608 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 127, 152, 254, 304, 508, 1016, 2032, 2413, 4826, 9652, 19304

Step-4: Factors of 38626

List of positive integer factors of 38626 that divides 38608 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38608 and 38626. The biggest common factor number is the GCF number.
So the greatest common factor 38608 and 38626 is 2.

Also check out the Least Common Multiple of 38608 and 38626