What is the Greatest Common Factor of 69928 and 69937?

Greatest common factor (GCF) of 69928 and 69937 is 1.

GCF(69928,69937) = 1

We will now calculate the prime factors of 69928 and 69937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69928 and 69937.

How to find the GCF of 69928 and 69937?

We will first find the prime factorization of 69928 and 69937. After we will calculate the factors of 69928 and 69937 and find the biggest common factor number .

Step-1: Prime Factorization of 69928

Prime factors of 69928 are 2, 8741. Prime factorization of 69928 in exponential form is:

69928 = 2³ × 8741¹

Step-2: Prime Factorization of 69937

Prime factors of 69937 are 7, 97, 103. Prime factorization of 69937 in exponential form is:

69937 = 7¹ × 97¹ × 103¹

Step-3: Factors of 69928

List of positive integer factors of 69928 that divides 69928 without a remainder.

1, 2, 4, 8, 8741, 17482, 34964

Step-4: Factors of 69937

List of positive integer factors of 69937 that divides 69928 without a remainder.

1, 7, 97, 103, 679, 721, 9991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69928 and 69937. The biggest common factor number is the GCF number.
So the greatest common factor 69928 and 69937 is 1.

Also check out the Least Common Multiple of 69928 and 69937