What is the Greatest Common Factor of 42920 and 42935?

Greatest common factor (GCF) of 42920 and 42935 is 5.

GCF(42920,42935) = 5

We will now calculate the prime factors of 42920 and 42935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42920 and 42935.

How to find the GCF of 42920 and 42935?

We will first find the prime factorization of 42920 and 42935. After we will calculate the factors of 42920 and 42935 and find the biggest common factor number .

Step-1: Prime Factorization of 42920

Prime factors of 42920 are 2, 5, 29, 37. Prime factorization of 42920 in exponential form is:

42920 = 2³ × 5¹ × 29¹ × 37¹

Step-2: Prime Factorization of 42935

Prime factors of 42935 are 5, 31, 277. Prime factorization of 42935 in exponential form is:

42935 = 5¹ × 31¹ × 277¹

Step-3: Factors of 42920

List of positive integer factors of 42920 that divides 42920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 37, 40, 58, 74, 116, 145, 148, 185, 232, 290, 296, 370, 580, 740, 1073, 1160, 1480, 2146, 4292, 5365, 8584, 10730, 21460

Step-4: Factors of 42935

List of positive integer factors of 42935 that divides 42920 without a remainder.

1, 5, 31, 155, 277, 1385, 8587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42920 and 42935. The biggest common factor number is the GCF number.
So the greatest common factor 42920 and 42935 is 5.

Also check out the Least Common Multiple of 42920 and 42935