What is the Greatest Common Factor of 42908 and 42920?

Greatest common factor (GCF) of 42908 and 42920 is 4.

GCF(42908,42920) = 4

We will now calculate the prime factors of 42908 and 42920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42908 and 42920.

How to find the GCF of 42908 and 42920?

We will first find the prime factorization of 42908 and 42920. After we will calculate the factors of 42908 and 42920 and find the biggest common factor number .

Step-1: Prime Factorization of 42908

Prime factors of 42908 are 2, 17, 631. Prime factorization of 42908 in exponential form is:

42908 = 2² × 17¹ × 631¹

Step-2: 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-3: Factors of 42908

List of positive integer factors of 42908 that divides 42908 without a remainder.

1, 2, 4, 17, 34, 68, 631, 1262, 2524, 10727, 21454

Step-4: Factors of 42920

List of positive integer factors of 42920 that divides 42908 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42908 and 42920. The biggest common factor number is the GCF number.
So the greatest common factor 42908 and 42920 is 4.

Also check out the Least Common Multiple of 42908 and 42920