What is the Greatest Common Factor of 44702 and 44716?

Greatest common factor (GCF) of 44702 and 44716 is 14.

GCF(44702,44716) = 14

We will now calculate the prime factors of 44702 and 44716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44702 and 44716.

How to find the GCF of 44702 and 44716?

We will first find the prime factorization of 44702 and 44716. After we will calculate the factors of 44702 and 44716 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44716

Prime factors of 44716 are 2, 7, 1597. Prime factorization of 44716 in exponential form is:

44716 = 2² × 7¹ × 1597¹

Step-3: Factors of 44702

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

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

Step-4: Factors of 44716

List of positive integer factors of 44716 that divides 44702 without a remainder.

1, 2, 4, 7, 14, 28, 1597, 3194, 6388, 11179, 22358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44702 and 44716. The biggest common factor number is the GCF number.
So the greatest common factor 44702 and 44716 is 14.

Also check out the Least Common Multiple of 44702 and 44716