What is the Greatest Common Factor of 38262 and 38267?

Greatest common factor (GCF) of 38262 and 38267 is 1.

GCF(38262,38267) = 1

We will now calculate the prime factors of 38262 and 38267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38262 and 38267.

How to find the GCF of 38262 and 38267?

We will first find the prime factorization of 38262 and 38267. After we will calculate the factors of 38262 and 38267 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 38267

Prime factors of 38267 are 17, 2251. Prime factorization of 38267 in exponential form is:

38267 = 17¹ × 2251¹

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 38267

List of positive integer factors of 38267 that divides 38262 without a remainder.

1, 17, 2251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38262 and 38267. The biggest common factor number is the GCF number.
So the greatest common factor 38262 and 38267 is 1.

Also check out the Least Common Multiple of 38262 and 38267