What is the Greatest Common Factor of 42955 and 42975?

Greatest common factor (GCF) of 42955 and 42975 is 5.

GCF(42955,42975) = 5

We will now calculate the prime factors of 42955 and 42975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42955 and 42975.

How to find the GCF of 42955 and 42975?

We will first find the prime factorization of 42955 and 42975. After we will calculate the factors of 42955 and 42975 and find the biggest common factor number .

Step-1: Prime Factorization of 42955

Prime factors of 42955 are 5, 11, 71. Prime factorization of 42955 in exponential form is:

42955 = 5¹ × 11² × 71¹

Step-2: Prime Factorization of 42975

Prime factors of 42975 are 3, 5, 191. Prime factorization of 42975 in exponential form is:

42975 = 3² × 5² × 191¹

Step-3: Factors of 42955

List of positive integer factors of 42955 that divides 42955 without a remainder.

1, 5, 11, 55, 71, 121, 355, 605, 781, 3905, 8591

Step-4: Factors of 42975

List of positive integer factors of 42975 that divides 42955 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 191, 225, 573, 955, 1719, 2865, 4775, 8595, 14325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42955 and 42975. The biggest common factor number is the GCF number.
So the greatest common factor 42955 and 42975 is 5.

Also check out the Least Common Multiple of 42955 and 42975