What is the Greatest Common Factor of 72106 and 72121?

Greatest common factor (GCF) of 72106 and 72121 is 1.

GCF(72106,72121) = 1

We will now calculate the prime factors of 72106 and 72121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72106 and 72121.

How to find the GCF of 72106 and 72121?

We will first find the prime factorization of 72106 and 72121. After we will calculate the factors of 72106 and 72121 and find the biggest common factor number .

Step-1: Prime Factorization of 72106

Prime factors of 72106 are 2, 31, 1163. Prime factorization of 72106 in exponential form is:

72106 = 2¹ × 31¹ × 1163¹

Step-2: Prime Factorization of 72121

Prime factors of 72121 are 7, 10303. Prime factorization of 72121 in exponential form is:

72121 = 7¹ × 10303¹

Step-3: Factors of 72106

List of positive integer factors of 72106 that divides 72106 without a remainder.

1, 2, 31, 62, 1163, 2326, 36053

Step-4: Factors of 72121

List of positive integer factors of 72121 that divides 72106 without a remainder.

1, 7, 10303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72106 and 72121. The biggest common factor number is the GCF number.
So the greatest common factor 72106 and 72121 is 1.

Also check out the Least Common Multiple of 72106 and 72121