What is the Greatest Common Factor of 73007 and 73026?

Greatest common factor (GCF) of 73007 and 73026 is 1.

GCF(73007,73026) = 1

We will now calculate the prime factors of 73007 and 73026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73007 and 73026.

How to find the GCF of 73007 and 73026?

We will first find the prime factorization of 73007 and 73026. After we will calculate the factors of 73007 and 73026 and find the biggest common factor number .

Step-1: Prime Factorization of 73007

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

73007 = 11¹ × 6637¹

Step-2: Prime Factorization of 73026

Prime factors of 73026 are 2, 3, 4057. Prime factorization of 73026 in exponential form is:

73026 = 2¹ × 3² × 4057¹

Step-3: Factors of 73007

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

1, 11, 6637

Step-4: Factors of 73026

List of positive integer factors of 73026 that divides 73007 without a remainder.

1, 2, 3, 6, 9, 18, 4057, 8114, 12171, 24342, 36513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73007 and 73026. The biggest common factor number is the GCF number.
So the greatest common factor 73007 and 73026 is 1.

Also check out the Least Common Multiple of 73007 and 73026