What is the Greatest Common Factor of 72998 and 73013?

Greatest common factor (GCF) of 72998 and 73013 is 1.

GCF(72998,73013) = 1

We will now calculate the prime factors of 72998 and 73013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72998 and 73013.

How to find the GCF of 72998 and 73013?

We will first find the prime factorization of 72998 and 73013. After we will calculate the factors of 72998 and 73013 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 73013

Prime factors of 73013 are 73013. Prime factorization of 73013 in exponential form is:

73013 = 73013¹

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 73013

List of positive integer factors of 73013 that divides 72998 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72998 and 73013. The biggest common factor number is the GCF number.
So the greatest common factor 72998 and 73013 is 1.

Also check out the Least Common Multiple of 72998 and 73013