What is the Greatest Common Factor of 69945 and 69953?

Greatest common factor (GCF) of 69945 and 69953 is 1.

GCF(69945,69953) = 1

We will now calculate the prime factors of 69945 and 69953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69945 and 69953.

How to find the GCF of 69945 and 69953?

We will first find the prime factorization of 69945 and 69953. After we will calculate the factors of 69945 and 69953 and find the biggest common factor number .

Step-1: Prime Factorization of 69945

Prime factors of 69945 are 3, 5, 4663. Prime factorization of 69945 in exponential form is:

69945 = 3¹ × 5¹ × 4663¹

Step-2: Prime Factorization of 69953

Prime factors of 69953 are 13, 5381. Prime factorization of 69953 in exponential form is:

69953 = 13¹ × 5381¹

Step-3: Factors of 69945

List of positive integer factors of 69945 that divides 69945 without a remainder.

1, 3, 5, 15, 4663, 13989, 23315

Step-4: Factors of 69953

List of positive integer factors of 69953 that divides 69945 without a remainder.

1, 13, 5381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69945 and 69953. The biggest common factor number is the GCF number.
So the greatest common factor 69945 and 69953 is 1.

Also check out the Least Common Multiple of 69945 and 69953