What is the Greatest Common Factor of 38460 and 38480?

Greatest common factor (GCF) of 38460 and 38480 is 20.

GCF(38460,38480) = 20

We will now calculate the prime factors of 38460 and 38480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38460 and 38480.

How to find the GCF of 38460 and 38480?

We will first find the prime factorization of 38460 and 38480. After we will calculate the factors of 38460 and 38480 and find the biggest common factor number .

Step-1: Prime Factorization of 38460

Prime factors of 38460 are 2, 3, 5, 641. Prime factorization of 38460 in exponential form is:

38460 = 2² × 3¹ × 5¹ × 641¹

Step-2: Prime Factorization of 38480

Prime factors of 38480 are 2, 5, 13, 37. Prime factorization of 38480 in exponential form is:

38480 = 2⁴ × 5¹ × 13¹ × 37¹

Step-3: Factors of 38460

List of positive integer factors of 38460 that divides 38460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 641, 1282, 1923, 2564, 3205, 3846, 6410, 7692, 9615, 12820, 19230

Step-4: Factors of 38480

List of positive integer factors of 38480 that divides 38460 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 37, 40, 52, 65, 74, 80, 104, 130, 148, 185, 208, 260, 296, 370, 481, 520, 592, 740, 962, 1040, 1480, 1924, 2405, 2960, 3848, 4810, 7696, 9620, 19240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38460 and 38480. The biggest common factor number is the GCF number.
So the greatest common factor 38460 and 38480 is 20.

Also check out the Least Common Multiple of 38460 and 38480