What is the Greatest Common Factor of 69634 and 69643?

Greatest common factor (GCF) of 69634 and 69643 is 1.

GCF(69634,69643) = 1

We will now calculate the prime factors of 69634 and 69643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69634 and 69643.

How to find the GCF of 69634 and 69643?

We will first find the prime factorization of 69634 and 69643. After we will calculate the factors of 69634 and 69643 and find the biggest common factor number .

Step-1: Prime Factorization of 69634

Prime factors of 69634 are 2, 37, 941. Prime factorization of 69634 in exponential form is:

69634 = 2¹ × 37¹ × 941¹

Step-2: Prime Factorization of 69643

Prime factors of 69643 are 7, 9949. Prime factorization of 69643 in exponential form is:

69643 = 7¹ × 9949¹

Step-3: Factors of 69634

List of positive integer factors of 69634 that divides 69634 without a remainder.

1, 2, 37, 74, 941, 1882, 34817

Step-4: Factors of 69643

List of positive integer factors of 69643 that divides 69634 without a remainder.

1, 7, 9949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69634 and 69643. The biggest common factor number is the GCF number.
So the greatest common factor 69634 and 69643 is 1.

Also check out the Least Common Multiple of 69634 and 69643