What is the Greatest Common Factor of 18960 and 18970?

Greatest common factor (GCF) of 18960 and 18970 is 10.

GCF(18960,18970) = 10

We will now calculate the prime factors of 18960 and 18970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18960 and 18970.

How to find the GCF of 18960 and 18970?

We will first find the prime factorization of 18960 and 18970. After we will calculate the factors of 18960 and 18970 and find the biggest common factor number .

Step-1: Prime Factorization of 18960

Prime factors of 18960 are 2, 3, 5, 79. Prime factorization of 18960 in exponential form is:

18960 = 2⁴ × 3¹ × 5¹ × 79¹

Step-2: Prime Factorization of 18970

Prime factors of 18970 are 2, 5, 7, 271. Prime factorization of 18970 in exponential form is:

18970 = 2¹ × 5¹ × 7¹ × 271¹

Step-3: Factors of 18960

List of positive integer factors of 18960 that divides 18960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 79, 80, 120, 158, 237, 240, 316, 395, 474, 632, 790, 948, 1185, 1264, 1580, 1896, 2370, 3160, 3792, 4740, 6320, 9480

Step-4: Factors of 18970

List of positive integer factors of 18970 that divides 18960 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 271, 542, 1355, 1897, 2710, 3794, 9485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18960 and 18970. The biggest common factor number is the GCF number.
So the greatest common factor 18960 and 18970 is 10.

Also check out the Least Common Multiple of 18960 and 18970