What is the Greatest Common Factor of 72041 and 72061?

Greatest common factor (GCF) of 72041 and 72061 is 1.

GCF(72041,72061) = 1

We will now calculate the prime factors of 72041 and 72061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72041 and 72061.

How to find the GCF of 72041 and 72061?

We will first find the prime factorization of 72041 and 72061. After we will calculate the factors of 72041 and 72061 and find the biggest common factor number .

Step-1: Prime Factorization of 72041

Prime factors of 72041 are 61, 1181. Prime factorization of 72041 in exponential form is:

72041 = 61¹ × 1181¹

Step-2: Prime Factorization of 72061

Prime factors of 72061 are 11, 6551. Prime factorization of 72061 in exponential form is:

72061 = 11¹ × 6551¹

Step-3: Factors of 72041

List of positive integer factors of 72041 that divides 72041 without a remainder.

1, 61, 1181

Step-4: Factors of 72061

List of positive integer factors of 72061 that divides 72041 without a remainder.

1, 11, 6551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72041 and 72061. The biggest common factor number is the GCF number.
So the greatest common factor 72041 and 72061 is 1.

Also check out the Least Common Multiple of 72041 and 72061