What is the Greatest Common Factor of 42925 and 42945?

Greatest common factor (GCF) of 42925 and 42945 is 5.

GCF(42925,42945) = 5

We will now calculate the prime factors of 42925 and 42945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42925 and 42945.

How to find the GCF of 42925 and 42945?

We will first find the prime factorization of 42925 and 42945. After we will calculate the factors of 42925 and 42945 and find the biggest common factor number .

Step-1: Prime Factorization of 42925

Prime factors of 42925 are 5, 17, 101. Prime factorization of 42925 in exponential form is:

42925 = 5² × 17¹ × 101¹

Step-2: Prime Factorization of 42945

Prime factors of 42945 are 3, 5, 7, 409. Prime factorization of 42945 in exponential form is:

42945 = 3¹ × 5¹ × 7¹ × 409¹

Step-3: Factors of 42925

List of positive integer factors of 42925 that divides 42925 without a remainder.

1, 5, 17, 25, 85, 101, 425, 505, 1717, 2525, 8585

Step-4: Factors of 42945

List of positive integer factors of 42945 that divides 42925 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 409, 1227, 2045, 2863, 6135, 8589, 14315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42925 and 42945. The biggest common factor number is the GCF number.
So the greatest common factor 42925 and 42945 is 5.

Also check out the Least Common Multiple of 42925 and 42945