What is the Greatest Common Factor of 38962 and 38972?

Greatest common factor (GCF) of 38962 and 38972 is 2.

GCF(38962,38972) = 2

We will now calculate the prime factors of 38962 and 38972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38962 and 38972.

How to find the GCF of 38962 and 38972?

We will first find the prime factorization of 38962 and 38972. After we will calculate the factors of 38962 and 38972 and find the biggest common factor number .

Step-1: Prime Factorization of 38962

Prime factors of 38962 are 2, 7, 11, 23. Prime factorization of 38962 in exponential form is:

38962 = 2¹ × 7¹ × 11² × 23¹

Step-2: Prime Factorization of 38972

Prime factors of 38972 are 2, 9743. Prime factorization of 38972 in exponential form is:

38972 = 2² × 9743¹

Step-3: Factors of 38962

List of positive integer factors of 38962 that divides 38962 without a remainder.

1, 2, 7, 11, 14, 22, 23, 46, 77, 121, 154, 161, 242, 253, 322, 506, 847, 1694, 1771, 2783, 3542, 5566, 19481

Step-4: Factors of 38972

List of positive integer factors of 38972 that divides 38962 without a remainder.

1, 2, 4, 9743, 19486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38962 and 38972. The biggest common factor number is the GCF number.
So the greatest common factor 38962 and 38972 is 2.

Also check out the Least Common Multiple of 38962 and 38972