What is the Greatest Common Factor of 38836 and 38852?

Greatest common factor (GCF) of 38836 and 38852 is 4.

GCF(38836,38852) = 4

We will now calculate the prime factors of 38836 and 38852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38836 and 38852.

How to find the GCF of 38836 and 38852?

We will first find the prime factorization of 38836 and 38852. After we will calculate the factors of 38836 and 38852 and find the biggest common factor number .

Step-1: Prime Factorization of 38836

Prime factors of 38836 are 2, 7, 19, 73. Prime factorization of 38836 in exponential form is:

38836 = 2² × 7¹ × 19¹ × 73¹

Step-2: Prime Factorization of 38852

Prime factors of 38852 are 2, 11, 883. Prime factorization of 38852 in exponential form is:

38852 = 2² × 11¹ × 883¹

Step-3: Factors of 38836

List of positive integer factors of 38836 that divides 38836 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 73, 76, 133, 146, 266, 292, 511, 532, 1022, 1387, 2044, 2774, 5548, 9709, 19418

Step-4: Factors of 38852

List of positive integer factors of 38852 that divides 38836 without a remainder.

1, 2, 4, 11, 22, 44, 883, 1766, 3532, 9713, 19426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38836 and 38852. The biggest common factor number is the GCF number.
So the greatest common factor 38836 and 38852 is 4.

Also check out the Least Common Multiple of 38836 and 38852