What is the Greatest Common Factor of 83060 and 83074?

Greatest common factor (GCF) of 83060 and 83074 is 2.

GCF(83060,83074) = 2

We will now calculate the prime factors of 83060 and 83074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83060 and 83074.

How to find the GCF of 83060 and 83074?

We will first find the prime factorization of 83060 and 83074. After we will calculate the factors of 83060 and 83074 and find the biggest common factor number .

Step-1: Prime Factorization of 83060

Prime factors of 83060 are 2, 5, 4153. Prime factorization of 83060 in exponential form is:

83060 = 2² × 5¹ × 4153¹

Step-2: Prime Factorization of 83074

Prime factors of 83074 are 2, 73, 569. Prime factorization of 83074 in exponential form is:

83074 = 2¹ × 73¹ × 569¹

Step-3: Factors of 83060

List of positive integer factors of 83060 that divides 83060 without a remainder.

1, 2, 4, 5, 10, 20, 4153, 8306, 16612, 20765, 41530

Step-4: Factors of 83074

List of positive integer factors of 83074 that divides 83060 without a remainder.

1, 2, 73, 146, 569, 1138, 41537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83060 and 83074. The biggest common factor number is the GCF number.
So the greatest common factor 83060 and 83074 is 2.

Also check out the Least Common Multiple of 83060 and 83074