What is the Greatest Common Factor of 72838 and 72852?

Greatest common factor (GCF) of 72838 and 72852 is 2.

GCF(72838,72852) = 2

We will now calculate the prime factors of 72838 and 72852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72838 and 72852.

How to find the GCF of 72838 and 72852?

We will first find the prime factorization of 72838 and 72852. After we will calculate the factors of 72838 and 72852 and find the biggest common factor number .

Step-1: Prime Factorization of 72838

Prime factors of 72838 are 2, 79, 461. Prime factorization of 72838 in exponential form is:

72838 = 2¹ × 79¹ × 461¹

Step-2: Prime Factorization of 72852

Prime factors of 72852 are 2, 3, 13, 467. Prime factorization of 72852 in exponential form is:

72852 = 2² × 3¹ × 13¹ × 467¹

Step-3: Factors of 72838

List of positive integer factors of 72838 that divides 72838 without a remainder.

1, 2, 79, 158, 461, 922, 36419

Step-4: Factors of 72852

List of positive integer factors of 72852 that divides 72838 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 467, 934, 1401, 1868, 2802, 5604, 6071, 12142, 18213, 24284, 36426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72838 and 72852. The biggest common factor number is the GCF number.
So the greatest common factor 72838 and 72852 is 2.

Also check out the Least Common Multiple of 72838 and 72852