What is the Greatest Common Factor of 44690 and 44702?

Greatest common factor (GCF) of 44690 and 44702 is 2.

GCF(44690,44702) = 2

We will now calculate the prime factors of 44690 and 44702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44690 and 44702.

How to find the GCF of 44690 and 44702?

We will first find the prime factorization of 44690 and 44702. After we will calculate the factors of 44690 and 44702 and find the biggest common factor number .

Step-1: Prime Factorization of 44690

Prime factors of 44690 are 2, 5, 41, 109. Prime factorization of 44690 in exponential form is:

44690 = 2¹ × 5¹ × 41¹ × 109¹

Step-2: Prime Factorization of 44702

Prime factors of 44702 are 2, 7, 31, 103. Prime factorization of 44702 in exponential form is:

44702 = 2¹ × 7¹ × 31¹ × 103¹

Step-3: Factors of 44690

List of positive integer factors of 44690 that divides 44690 without a remainder.

1, 2, 5, 10, 41, 82, 109, 205, 218, 410, 545, 1090, 4469, 8938, 22345

Step-4: Factors of 44702

List of positive integer factors of 44702 that divides 44690 without a remainder.

1, 2, 7, 14, 31, 62, 103, 206, 217, 434, 721, 1442, 3193, 6386, 22351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44690 and 44702. The biggest common factor number is the GCF number.
So the greatest common factor 44690 and 44702 is 2.

Also check out the Least Common Multiple of 44690 and 44702