What is the Greatest Common Factor of 73042 and 73059?

Greatest common factor (GCF) of 73042 and 73059 is 1.

GCF(73042,73059) = 1

We will now calculate the prime factors of 73042 and 73059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73042 and 73059.

How to find the GCF of 73042 and 73059?

We will first find the prime factorization of 73042 and 73059. After we will calculate the factors of 73042 and 73059 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 73059

Prime factors of 73059 are 3, 7, 71. Prime factorization of 73059 in exponential form is:

73059 = 3¹ × 7³ × 71¹

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 73059

List of positive integer factors of 73059 that divides 73042 without a remainder.

1, 3, 7, 21, 49, 71, 147, 213, 343, 497, 1029, 1491, 3479, 10437, 24353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73042 and 73059. The biggest common factor number is the GCF number.
So the greatest common factor 73042 and 73059 is 1.

Also check out the Least Common Multiple of 73042 and 73059