What is the Greatest Common Factor of 73022 and 73036?

Greatest common factor (GCF) of 73022 and 73036 is 2.

GCF(73022,73036) = 2

We will now calculate the prime factors of 73022 and 73036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73022 and 73036.

How to find the GCF of 73022 and 73036?

We will first find the prime factorization of 73022 and 73036. After we will calculate the factors of 73022 and 73036 and find the biggest common factor number .

Step-1: Prime Factorization of 73022

Prime factors of 73022 are 2, 29, 1259. Prime factorization of 73022 in exponential form is:

73022 = 2¹ × 29¹ × 1259¹

Step-2: Prime Factorization of 73036

Prime factors of 73036 are 2, 19, 31. Prime factorization of 73036 in exponential form is:

73036 = 2² × 19¹ × 31²

Step-3: Factors of 73022

List of positive integer factors of 73022 that divides 73022 without a remainder.

1, 2, 29, 58, 1259, 2518, 36511

Step-4: Factors of 73036

List of positive integer factors of 73036 that divides 73022 without a remainder.

1, 2, 4, 19, 31, 38, 62, 76, 124, 589, 961, 1178, 1922, 2356, 3844, 18259, 36518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73022 and 73036. The biggest common factor number is the GCF number.
So the greatest common factor 73022 and 73036 is 2.

Also check out the Least Common Multiple of 73022 and 73036