What is the Greatest Common Factor of 72058 and 72074?

Greatest common factor (GCF) of 72058 and 72074 is 2.

GCF(72058,72074) = 2

We will now calculate the prime factors of 72058 and 72074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72058 and 72074.

How to find the GCF of 72058 and 72074?

We will first find the prime factorization of 72058 and 72074. After we will calculate the factors of 72058 and 72074 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 72074

Prime factors of 72074 are 2, 36037. Prime factorization of 72074 in exponential form is:

72074 = 2¹ × 36037¹

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 72074

List of positive integer factors of 72074 that divides 72058 without a remainder.

1, 2, 36037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72058 and 72074. The biggest common factor number is the GCF number.
So the greatest common factor 72058 and 72074 is 2.

Also check out the Least Common Multiple of 72058 and 72074