What is the Greatest Common Factor of 72995 and 73007?

Greatest common factor (GCF) of 72995 and 73007 is 1.

GCF(72995,73007) = 1

We will now calculate the prime factors of 72995 and 73007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72995 and 73007.

How to find the GCF of 72995 and 73007?

We will first find the prime factorization of 72995 and 73007. After we will calculate the factors of 72995 and 73007 and find the biggest common factor number .

Step-1: Prime Factorization of 72995

Prime factors of 72995 are 5, 13, 1123. Prime factorization of 72995 in exponential form is:

72995 = 5¹ × 13¹ × 1123¹

Step-2: Prime Factorization of 73007

Prime factors of 73007 are 11, 6637. Prime factorization of 73007 in exponential form is:

73007 = 11¹ × 6637¹

Step-3: Factors of 72995

List of positive integer factors of 72995 that divides 72995 without a remainder.

1, 5, 13, 65, 1123, 5615, 14599

Step-4: Factors of 73007

List of positive integer factors of 73007 that divides 72995 without a remainder.

1, 11, 6637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72995 and 73007. The biggest common factor number is the GCF number.
So the greatest common factor 72995 and 73007 is 1.

Also check out the Least Common Multiple of 72995 and 73007