What is the Greatest Common Factor of 69880 and 69897?

Greatest common factor (GCF) of 69880 and 69897 is 1.

GCF(69880,69897) = 1

We will now calculate the prime factors of 69880 and 69897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69880 and 69897.

How to find the GCF of 69880 and 69897?

We will first find the prime factorization of 69880 and 69897. After we will calculate the factors of 69880 and 69897 and find the biggest common factor number .

Step-1: Prime Factorization of 69880

Prime factors of 69880 are 2, 5, 1747. Prime factorization of 69880 in exponential form is:

69880 = 2³ × 5¹ × 1747¹

Step-2: Prime Factorization of 69897

Prime factors of 69897 are 3, 23, 1013. Prime factorization of 69897 in exponential form is:

69897 = 3¹ × 23¹ × 1013¹

Step-3: Factors of 69880

List of positive integer factors of 69880 that divides 69880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1747, 3494, 6988, 8735, 13976, 17470, 34940

Step-4: Factors of 69897

List of positive integer factors of 69897 that divides 69880 without a remainder.

1, 3, 23, 69, 1013, 3039, 23299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69880 and 69897. The biggest common factor number is the GCF number.
So the greatest common factor 69880 and 69897 is 1.

Also check out the Least Common Multiple of 69880 and 69897