What is the Greatest Common Factor of 42255 and 42265?

Greatest common factor (GCF) of 42255 and 42265 is 5.

GCF(42255,42265) = 5

We will now calculate the prime factors of 42255 and 42265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42255 and 42265.

How to find the GCF of 42255 and 42265?

We will first find the prime factorization of 42255 and 42265. After we will calculate the factors of 42255 and 42265 and find the biggest common factor number .

Step-1: Prime Factorization of 42255

Prime factors of 42255 are 3, 5, 313. Prime factorization of 42255 in exponential form is:

42255 = 3³ × 5¹ × 313¹

Step-2: Prime Factorization of 42265

Prime factors of 42265 are 5, 79, 107. Prime factorization of 42265 in exponential form is:

42265 = 5¹ × 79¹ × 107¹

Step-3: Factors of 42255

List of positive integer factors of 42255 that divides 42255 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 313, 939, 1565, 2817, 4695, 8451, 14085

Step-4: Factors of 42265

List of positive integer factors of 42265 that divides 42255 without a remainder.

1, 5, 79, 107, 395, 535, 8453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42255 and 42265. The biggest common factor number is the GCF number.
So the greatest common factor 42255 and 42265 is 5.

Also check out the Least Common Multiple of 42255 and 42265