What is the Greatest Common Factor of 42960 and 42980?

Greatest common factor (GCF) of 42960 and 42980 is 20.

GCF(42960,42980) = 20

We will now calculate the prime factors of 42960 and 42980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42960 and 42980.

How to find the GCF of 42960 and 42980?

We will first find the prime factorization of 42960 and 42980. After we will calculate the factors of 42960 and 42980 and find the biggest common factor number .

Step-1: Prime Factorization of 42960

Prime factors of 42960 are 2, 3, 5, 179. Prime factorization of 42960 in exponential form is:

42960 = 2⁴ × 3¹ × 5¹ × 179¹

Step-2: Prime Factorization of 42980

Prime factors of 42980 are 2, 5, 7, 307. Prime factorization of 42980 in exponential form is:

42980 = 2² × 5¹ × 7¹ × 307¹

Step-3: Factors of 42960

List of positive integer factors of 42960 that divides 42960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 179, 240, 358, 537, 716, 895, 1074, 1432, 1790, 2148, 2685, 2864, 3580, 4296, 5370, 7160, 8592, 10740, 14320, 21480

Step-4: Factors of 42980

List of positive integer factors of 42980 that divides 42960 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 307, 614, 1228, 1535, 2149, 3070, 4298, 6140, 8596, 10745, 21490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42960 and 42980. The biggest common factor number is the GCF number.
So the greatest common factor 42960 and 42980 is 20.

Also check out the Least Common Multiple of 42960 and 42980