What is the Greatest Common Factor of 72998 and 73002?

Greatest common factor (GCF) of 72998 and 73002 is 2.

GCF(72998,73002) = 2

We will now calculate the prime factors of 72998 and 73002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72998 and 73002.

How to find the GCF of 72998 and 73002?

We will first find the prime factorization of 72998 and 73002. After we will calculate the factors of 72998 and 73002 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 73002

Prime factors of 73002 are 2, 3, 23. Prime factorization of 73002 in exponential form is:

73002 = 2¹ × 3¹ × 23³

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 73002

List of positive integer factors of 73002 that divides 72998 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 529, 1058, 1587, 3174, 12167, 24334, 36501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72998 and 73002. The biggest common factor number is the GCF number.
So the greatest common factor 72998 and 73002 is 2.

Also check out the Least Common Multiple of 72998 and 73002