What is the Greatest Common Factor of 38262 and 38269?

Greatest common factor (GCF) of 38262 and 38269 is 7.

GCF(38262,38269) = 7

We will now calculate the prime factors of 38262 and 38269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38262 and 38269.

How to find the GCF of 38262 and 38269?

We will first find the prime factorization of 38262 and 38269. After we will calculate the factors of 38262 and 38269 and find the biggest common factor number .

Step-1: Prime Factorization of 38262

Prime factors of 38262 are 2, 3, 7, 911. Prime factorization of 38262 in exponential form is:

38262 = 2¹ × 3¹ × 7¹ × 911¹

Step-2: Prime Factorization of 38269

Prime factors of 38269 are 7, 11, 71. Prime factorization of 38269 in exponential form is:

38269 = 7² × 11¹ × 71¹

Step-3: Factors of 38262

List of positive integer factors of 38262 that divides 38262 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 911, 1822, 2733, 5466, 6377, 12754, 19131

Step-4: Factors of 38269

List of positive integer factors of 38269 that divides 38262 without a remainder.

1, 7, 11, 49, 71, 77, 497, 539, 781, 3479, 5467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38262 and 38269. The biggest common factor number is the GCF number.
So the greatest common factor 38262 and 38269 is 7.

Also check out the Least Common Multiple of 38262 and 38269