What is the Greatest Common Factor of 38236 and 38252?

Greatest common factor (GCF) of 38236 and 38252 is 4.

GCF(38236,38252) = 4

We will now calculate the prime factors of 38236 and 38252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38236 and 38252.

How to find the GCF of 38236 and 38252?

We will first find the prime factorization of 38236 and 38252. After we will calculate the factors of 38236 and 38252 and find the biggest common factor number .

Step-1: Prime Factorization of 38236

Prime factors of 38236 are 2, 11, 79. Prime factorization of 38236 in exponential form is:

38236 = 2² × 11² × 79¹

Step-2: 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-3: Factors of 38236

List of positive integer factors of 38236 that divides 38236 without a remainder.

1, 2, 4, 11, 22, 44, 79, 121, 158, 242, 316, 484, 869, 1738, 3476, 9559, 19118

Step-4: Factors of 38252

List of positive integer factors of 38252 that divides 38236 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38236 and 38252. The biggest common factor number is the GCF number.
So the greatest common factor 38236 and 38252 is 4.

Also check out the Least Common Multiple of 38236 and 38252