What is the Greatest Common Factor of 73042 and 73049?

Greatest common factor (GCF) of 73042 and 73049 is 1.

GCF(73042,73049) = 1

We will now calculate the prime factors of 73042 and 73049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73042 and 73049.

How to find the GCF of 73042 and 73049?

We will first find the prime factorization of 73042 and 73049. After we will calculate the factors of 73042 and 73049 and find the biggest common factor number .

Step-1: Prime Factorization of 73042

Prime factors of 73042 are 2, 59, 619. Prime factorization of 73042 in exponential form is:

73042 = 2¹ × 59¹ × 619¹

Step-2: Prime Factorization of 73049

Prime factors of 73049 are 17, 4297. Prime factorization of 73049 in exponential form is:

73049 = 17¹ × 4297¹

Step-3: Factors of 73042

List of positive integer factors of 73042 that divides 73042 without a remainder.

1, 2, 59, 118, 619, 1238, 36521

Step-4: Factors of 73049

List of positive integer factors of 73049 that divides 73042 without a remainder.

1, 17, 4297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73042 and 73049. The biggest common factor number is the GCF number.
So the greatest common factor 73042 and 73049 is 1.

Also check out the Least Common Multiple of 73042 and 73049