What is the Greatest Common Factor of 38626 and 38633?

Greatest common factor (GCF) of 38626 and 38633 is 7.

GCF(38626,38633) = 7

We will now calculate the prime factors of 38626 and 38633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38626 and 38633.

How to find the GCF of 38626 and 38633?

We will first find the prime factorization of 38626 and 38633. After we will calculate the factors of 38626 and 38633 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 38633

Prime factors of 38633 are 7, 5519. Prime factorization of 38633 in exponential form is:

38633 = 7¹ × 5519¹

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 38633

List of positive integer factors of 38633 that divides 38626 without a remainder.

1, 7, 5519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38626 and 38633. The biggest common factor number is the GCF number.
So the greatest common factor 38626 and 38633 is 7.

Also check out the Least Common Multiple of 38626 and 38633