What is the Greatest Common Factor of 72998 and 73017?

Greatest common factor (GCF) of 72998 and 73017 is 19.

GCF(72998,73017) = 19

We will now calculate the prime factors of 72998 and 73017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72998 and 73017.

How to find the GCF of 72998 and 73017?

We will first find the prime factorization of 72998 and 73017. After we will calculate the factors of 72998 and 73017 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 73017

Prime factors of 73017 are 3, 7, 19, 61. Prime factorization of 73017 in exponential form is:

73017 = 3² × 7¹ × 19¹ × 61¹

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 73017

List of positive integer factors of 73017 that divides 72998 without a remainder.

1, 3, 7, 9, 19, 21, 57, 61, 63, 133, 171, 183, 399, 427, 549, 1159, 1197, 1281, 3477, 3843, 8113, 10431, 24339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72998 and 73017. The biggest common factor number is the GCF number.
So the greatest common factor 72998 and 73017 is 19.

Also check out the Least Common Multiple of 72998 and 73017