What is the Greatest Common Factor of 38960 and 38970?

Greatest common factor (GCF) of 38960 and 38970 is 10.

GCF(38960,38970) = 10

We will now calculate the prime factors of 38960 and 38970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38960 and 38970.

How to find the GCF of 38960 and 38970?

We will first find the prime factorization of 38960 and 38970. After we will calculate the factors of 38960 and 38970 and find the biggest common factor number .

Step-1: Prime Factorization of 38960

Prime factors of 38960 are 2, 5, 487. Prime factorization of 38960 in exponential form is:

38960 = 2⁴ × 5¹ × 487¹

Step-2: Prime Factorization of 38970

Prime factors of 38970 are 2, 3, 5, 433. Prime factorization of 38970 in exponential form is:

38970 = 2¹ × 3² × 5¹ × 433¹

Step-3: Factors of 38960

List of positive integer factors of 38960 that divides 38960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 487, 974, 1948, 2435, 3896, 4870, 7792, 9740, 19480

Step-4: Factors of 38970

List of positive integer factors of 38970 that divides 38960 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 433, 866, 1299, 2165, 2598, 3897, 4330, 6495, 7794, 12990, 19485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38960 and 38970. The biggest common factor number is the GCF number.
So the greatest common factor 38960 and 38970 is 10.

Also check out the Least Common Multiple of 38960 and 38970