What is the Greatest Common Factor of 72992 and 73010?

Greatest common factor (GCF) of 72992 and 73010 is 2.

GCF(72992,73010) = 2

We will now calculate the prime factors of 72992 and 73010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72992 and 73010.

How to find the GCF of 72992 and 73010?

We will first find the prime factorization of 72992 and 73010. After we will calculate the factors of 72992 and 73010 and find the biggest common factor number .

Step-1: Prime Factorization of 72992

Prime factors of 72992 are 2, 2281. Prime factorization of 72992 in exponential form is:

72992 = 2⁵ × 2281¹

Step-2: Prime Factorization of 73010

Prime factors of 73010 are 2, 5, 7, 149. Prime factorization of 73010 in exponential form is:

73010 = 2¹ × 5¹ × 7² × 149¹

Step-3: Factors of 72992

List of positive integer factors of 72992 that divides 72992 without a remainder.

1, 2, 4, 8, 16, 32, 2281, 4562, 9124, 18248, 36496

Step-4: Factors of 73010

List of positive integer factors of 73010 that divides 72992 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 149, 245, 298, 490, 745, 1043, 1490, 2086, 5215, 7301, 10430, 14602, 36505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72992 and 73010. The biggest common factor number is the GCF number.
So the greatest common factor 72992 and 73010 is 2.

Also check out the Least Common Multiple of 72992 and 73010