What is the Greatest Common Factor of 72998 and 73006?

Greatest common factor (GCF) of 72998 and 73006 is 2.

GCF(72998,73006) = 2

We will now calculate the prime factors of 72998 and 73006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72998 and 73006.

How to find the GCF of 72998 and 73006?

We will first find the prime factorization of 72998 and 73006. After we will calculate the factors of 72998 and 73006 and find the biggest common factor number .

Step-1: Prime Factorization of 72998

Prime factors of 72998 are 2, 17, 19, 113. Prime factorization of 72998 in exponential form is:

72998 = 2¹ × 17¹ × 19¹ × 113¹

Step-2: Prime Factorization of 73006

Prime factors of 73006 are 2, 173, 211. Prime factorization of 73006 in exponential form is:

73006 = 2¹ × 173¹ × 211¹

Step-3: Factors of 72998

List of positive integer factors of 72998 that divides 72998 without a remainder.

1, 2, 17, 19, 34, 38, 113, 226, 323, 646, 1921, 2147, 3842, 4294, 36499

Step-4: Factors of 73006

List of positive integer factors of 73006 that divides 72998 without a remainder.

1, 2, 173, 211, 346, 422, 36503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72998 and 73006. The biggest common factor number is the GCF number.
So the greatest common factor 72998 and 73006 is 2.

Also check out the Least Common Multiple of 72998 and 73006