What is the Greatest Common Factor of 34925 and 34942?

Greatest common factor (GCF) of 34925 and 34942 is 1.

GCF(34925,34942) = 1

We will now calculate the prime factors of 34925 and 34942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34925 and 34942.

How to find the GCF of 34925 and 34942?

We will first find the prime factorization of 34925 and 34942. After we will calculate the factors of 34925 and 34942 and find the biggest common factor number .

Step-1: Prime Factorization of 34925

Prime factors of 34925 are 5, 11, 127. Prime factorization of 34925 in exponential form is:

34925 = 5² × 11¹ × 127¹

Step-2: Prime Factorization of 34942

Prime factors of 34942 are 2, 17471. Prime factorization of 34942 in exponential form is:

34942 = 2¹ × 17471¹

Step-3: Factors of 34925

List of positive integer factors of 34925 that divides 34925 without a remainder.

1, 5, 11, 25, 55, 127, 275, 635, 1397, 3175, 6985

Step-4: Factors of 34942

List of positive integer factors of 34942 that divides 34925 without a remainder.

1, 2, 17471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34925 and 34942. The biggest common factor number is the GCF number.
So the greatest common factor 34925 and 34942 is 1.

Also check out the Least Common Multiple of 34925 and 34942