What is the Greatest Common Factor of 38980 and 38994?

Greatest common factor (GCF) of 38980 and 38994 is 2.

GCF(38980,38994) = 2

We will now calculate the prime factors of 38980 and 38994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38980 and 38994.

How to find the GCF of 38980 and 38994?

We will first find the prime factorization of 38980 and 38994. After we will calculate the factors of 38980 and 38994 and find the biggest common factor number .

Step-1: Prime Factorization of 38980

Prime factors of 38980 are 2, 5, 1949. Prime factorization of 38980 in exponential form is:

38980 = 2² × 5¹ × 1949¹

Step-2: Prime Factorization of 38994

Prime factors of 38994 are 2, 3, 67, 97. Prime factorization of 38994 in exponential form is:

38994 = 2¹ × 3¹ × 67¹ × 97¹

Step-3: Factors of 38980

List of positive integer factors of 38980 that divides 38980 without a remainder.

1, 2, 4, 5, 10, 20, 1949, 3898, 7796, 9745, 19490

Step-4: Factors of 38994

List of positive integer factors of 38994 that divides 38980 without a remainder.

1, 2, 3, 6, 67, 97, 134, 194, 201, 291, 402, 582, 6499, 12998, 19497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38980 and 38994. The biggest common factor number is the GCF number.
So the greatest common factor 38980 and 38994 is 2.

Also check out the Least Common Multiple of 38980 and 38994