What is the Greatest Common Factor of 38514 and 38522?

Greatest common factor (GCF) of 38514 and 38522 is 2.

GCF(38514,38522) = 2

We will now calculate the prime factors of 38514 and 38522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38514 and 38522.

How to find the GCF of 38514 and 38522?

We will first find the prime factorization of 38514 and 38522. After we will calculate the factors of 38514 and 38522 and find the biggest common factor number .

Step-1: Prime Factorization of 38514

Prime factors of 38514 are 2, 3, 7, 131. Prime factorization of 38514 in exponential form is:

38514 = 2¹ × 3¹ × 7² × 131¹

Step-2: Prime Factorization of 38522

Prime factors of 38522 are 2, 11, 17, 103. Prime factorization of 38522 in exponential form is:

38522 = 2¹ × 11¹ × 17¹ × 103¹

Step-3: Factors of 38514

List of positive integer factors of 38514 that divides 38514 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 131, 147, 262, 294, 393, 786, 917, 1834, 2751, 5502, 6419, 12838, 19257

Step-4: Factors of 38522

List of positive integer factors of 38522 that divides 38514 without a remainder.

1, 2, 11, 17, 22, 34, 103, 187, 206, 374, 1133, 1751, 2266, 3502, 19261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38514 and 38522. The biggest common factor number is the GCF number.
So the greatest common factor 38514 and 38522 is 2.

Also check out the Least Common Multiple of 38514 and 38522