What is the Greatest Common Factor of 72058 and 72069?

Greatest common factor (GCF) of 72058 and 72069 is 1.

GCF(72058,72069) = 1

We will now calculate the prime factors of 72058 and 72069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72058 and 72069.

How to find the GCF of 72058 and 72069?

We will first find the prime factorization of 72058 and 72069. After we will calculate the factors of 72058 and 72069 and find the biggest common factor number .

Step-1: Prime Factorization of 72058

Prime factors of 72058 are 2, 7, 5147. Prime factorization of 72058 in exponential form is:

72058 = 2¹ × 7¹ × 5147¹

Step-2: Prime Factorization of 72069

Prime factors of 72069 are 3, 24023. Prime factorization of 72069 in exponential form is:

72069 = 3¹ × 24023¹

Step-3: Factors of 72058

List of positive integer factors of 72058 that divides 72058 without a remainder.

1, 2, 7, 14, 5147, 10294, 36029

Step-4: Factors of 72069

List of positive integer factors of 72069 that divides 72058 without a remainder.

1, 3, 24023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72058 and 72069. The biggest common factor number is the GCF number.
So the greatest common factor 72058 and 72069 is 1.

Also check out the Least Common Multiple of 72058 and 72069