What is the Greatest Common Factor of 69748 and 69761?

Greatest common factor (GCF) of 69748 and 69761 is 1.

GCF(69748,69761) = 1

We will now calculate the prime factors of 69748 and 69761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69748 and 69761.

How to find the GCF of 69748 and 69761?

We will first find the prime factorization of 69748 and 69761. After we will calculate the factors of 69748 and 69761 and find the biggest common factor number .

Step-1: Prime Factorization of 69748

Prime factors of 69748 are 2, 7, 47, 53. Prime factorization of 69748 in exponential form is:

69748 = 2² × 7¹ × 47¹ × 53¹

Step-2: Prime Factorization of 69761

Prime factors of 69761 are 69761. Prime factorization of 69761 in exponential form is:

69761 = 69761¹

Step-3: Factors of 69748

List of positive integer factors of 69748 that divides 69748 without a remainder.

1, 2, 4, 7, 14, 28, 47, 53, 94, 106, 188, 212, 329, 371, 658, 742, 1316, 1484, 2491, 4982, 9964, 17437, 34874

Step-4: Factors of 69761

List of positive integer factors of 69761 that divides 69748 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69748 and 69761. The biggest common factor number is the GCF number.
So the greatest common factor 69748 and 69761 is 1.

Also check out the Least Common Multiple of 69748 and 69761