What is the Greatest Common Factor of 67072 and 67082?

Greatest common factor (GCF) of 67072 and 67082 is 2.

GCF(67072,67082) = 2

We will now calculate the prime factors of 67072 and 67082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67072 and 67082.

How to find the GCF of 67072 and 67082?

We will first find the prime factorization of 67072 and 67082. After we will calculate the factors of 67072 and 67082 and find the biggest common factor number .

Step-1: Prime Factorization of 67072

Prime factors of 67072 are 2, 131. Prime factorization of 67072 in exponential form is:

67072 = 2⁹ × 131¹

Step-2: Prime Factorization of 67082

Prime factors of 67082 are 2, 17, 1973. Prime factorization of 67082 in exponential form is:

67082 = 2¹ × 17¹ × 1973¹

Step-3: Factors of 67072

List of positive integer factors of 67072 that divides 67072 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 131, 256, 262, 512, 524, 1048, 2096, 4192, 8384, 16768, 33536

Step-4: Factors of 67082

List of positive integer factors of 67082 that divides 67072 without a remainder.

1, 2, 17, 34, 1973, 3946, 33541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67072 and 67082. The biggest common factor number is the GCF number.
So the greatest common factor 67072 and 67082 is 2.

Also check out the Least Common Multiple of 67072 and 67082