What is the Greatest Common Factor of 38948 and 38962?

Greatest common factor (GCF) of 38948 and 38962 is 14.

GCF(38948,38962) = 14

We will now calculate the prime factors of 38948 and 38962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38948 and 38962.

How to find the GCF of 38948 and 38962?

We will first find the prime factorization of 38948 and 38962. After we will calculate the factors of 38948 and 38962 and find the biggest common factor number .

Step-1: Prime Factorization of 38948

Prime factors of 38948 are 2, 7, 13, 107. Prime factorization of 38948 in exponential form is:

38948 = 2² × 7¹ × 13¹ × 107¹

Step-2: 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-3: Factors of 38948

List of positive integer factors of 38948 that divides 38948 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 107, 182, 214, 364, 428, 749, 1391, 1498, 2782, 2996, 5564, 9737, 19474

Step-4: Factors of 38962

List of positive integer factors of 38962 that divides 38948 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38948 and 38962. The biggest common factor number is the GCF number.
So the greatest common factor 38948 and 38962 is 14.

Also check out the Least Common Multiple of 38948 and 38962