What is the Greatest Common Factor of 69749 and 69754?

Greatest common factor (GCF) of 69749 and 69754 is 1.

GCF(69749,69754) = 1

We will now calculate the prime factors of 69749 and 69754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69749 and 69754.

How to find the GCF of 69749 and 69754?

We will first find the prime factorization of 69749 and 69754. After we will calculate the factors of 69749 and 69754 and find the biggest common factor number .

Step-1: Prime Factorization of 69749

Prime factors of 69749 are 19, 3671. Prime factorization of 69749 in exponential form is:

69749 = 19¹ × 3671¹

Step-2: Prime Factorization of 69754

Prime factors of 69754 are 2, 34877. Prime factorization of 69754 in exponential form is:

69754 = 2¹ × 34877¹

Step-3: Factors of 69749

List of positive integer factors of 69749 that divides 69749 without a remainder.

1, 19, 3671

Step-4: Factors of 69754

List of positive integer factors of 69754 that divides 69749 without a remainder.

1, 2, 34877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69749 and 69754. The biggest common factor number is the GCF number.
So the greatest common factor 69749 and 69754 is 1.

Also check out the Least Common Multiple of 69749 and 69754