What is the Greatest Common Factor of 59678 and 59695?

Greatest common factor (GCF) of 59678 and 59695 is 1.

GCF(59678,59695) = 1

We will now calculate the prime factors of 59678 and 59695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59678 and 59695.

How to find the GCF of 59678 and 59695?

We will first find the prime factorization of 59678 and 59695. After we will calculate the factors of 59678 and 59695 and find the biggest common factor number .

Step-1: Prime Factorization of 59678

Prime factors of 59678 are 2, 53, 563. Prime factorization of 59678 in exponential form is:

59678 = 2¹ × 53¹ × 563¹

Step-2: Prime Factorization of 59695

Prime factors of 59695 are 5, 11939. Prime factorization of 59695 in exponential form is:

59695 = 5¹ × 11939¹

Step-3: Factors of 59678

List of positive integer factors of 59678 that divides 59678 without a remainder.

1, 2, 53, 106, 563, 1126, 29839

Step-4: Factors of 59695

List of positive integer factors of 59695 that divides 59678 without a remainder.

1, 5, 11939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59678 and 59695. The biggest common factor number is the GCF number.
So the greatest common factor 59678 and 59695 is 1.

Also check out the Least Common Multiple of 59678 and 59695