What is the Greatest Common Factor of 38252 and 38270?

Greatest common factor (GCF) of 38252 and 38270 is 2.

GCF(38252,38270) = 2

We will now calculate the prime factors of 38252 and 38270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38252 and 38270.

How to find the GCF of 38252 and 38270?

We will first find the prime factorization of 38252 and 38270. After we will calculate the factors of 38252 and 38270 and find the biggest common factor number .

Step-1: Prime Factorization of 38252

Prime factors of 38252 are 2, 73, 131. Prime factorization of 38252 in exponential form is:

38252 = 2² × 73¹ × 131¹

Step-2: Prime Factorization of 38270

Prime factors of 38270 are 2, 5, 43, 89. Prime factorization of 38270 in exponential form is:

38270 = 2¹ × 5¹ × 43¹ × 89¹

Step-3: Factors of 38252

List of positive integer factors of 38252 that divides 38252 without a remainder.

1, 2, 4, 73, 131, 146, 262, 292, 524, 9563, 19126

Step-4: Factors of 38270

List of positive integer factors of 38270 that divides 38252 without a remainder.

1, 2, 5, 10, 43, 86, 89, 178, 215, 430, 445, 890, 3827, 7654, 19135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38252 and 38270. The biggest common factor number is the GCF number.
So the greatest common factor 38252 and 38270 is 2.

Also check out the Least Common Multiple of 38252 and 38270