What is the Greatest Common Factor of 44236 and 44252?

Greatest common factor (GCF) of 44236 and 44252 is 4.

GCF(44236,44252) = 4

We will now calculate the prime factors of 44236 and 44252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44236 and 44252.

How to find the GCF of 44236 and 44252?

We will first find the prime factorization of 44236 and 44252. After we will calculate the factors of 44236 and 44252 and find the biggest common factor number .

Step-1: Prime Factorization of 44236

Prime factors of 44236 are 2, 11059. Prime factorization of 44236 in exponential form is:

44236 = 2² × 11059¹

Step-2: Prime Factorization of 44252

Prime factors of 44252 are 2, 13, 23, 37. Prime factorization of 44252 in exponential form is:

44252 = 2² × 13¹ × 23¹ × 37¹

Step-3: Factors of 44236

List of positive integer factors of 44236 that divides 44236 without a remainder.

1, 2, 4, 11059, 22118

Step-4: Factors of 44252

List of positive integer factors of 44252 that divides 44236 without a remainder.

1, 2, 4, 13, 23, 26, 37, 46, 52, 74, 92, 148, 299, 481, 598, 851, 962, 1196, 1702, 1924, 3404, 11063, 22126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44236 and 44252. The biggest common factor number is the GCF number.
So the greatest common factor 44236 and 44252 is 4.

Also check out the Least Common Multiple of 44236 and 44252