What is the Greatest Common Factor of 42905 and 42920?

Greatest common factor (GCF) of 42905 and 42920 is 5.

GCF(42905,42920) = 5

We will now calculate the prime factors of 42905 and 42920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42905 and 42920.

How to find the GCF of 42905 and 42920?

We will first find the prime factorization of 42905 and 42920. After we will calculate the factors of 42905 and 42920 and find the biggest common factor number .

Step-1: Prime Factorization of 42905

Prime factors of 42905 are 5, 8581. Prime factorization of 42905 in exponential form is:

42905 = 5¹ × 8581¹

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 42905

List of positive integer factors of 42905 that divides 42905 without a remainder.

1, 5, 8581

Step-4: Factors of 42920

List of positive integer factors of 42920 that divides 42905 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 42905 and 42920. The biggest common factor number is the GCF number.
So the greatest common factor 42905 and 42920 is 5.

Also check out the Least Common Multiple of 42905 and 42920