What is the Greatest Common Factor of 69875 and 69884?

Greatest common factor (GCF) of 69875 and 69884 is 1.

GCF(69875,69884) = 1

We will now calculate the prime factors of 69875 and 69884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69875 and 69884.

How to find the GCF of 69875 and 69884?

We will first find the prime factorization of 69875 and 69884. After we will calculate the factors of 69875 and 69884 and find the biggest common factor number .

Step-1: Prime Factorization of 69875

Prime factors of 69875 are 5, 13, 43. Prime factorization of 69875 in exponential form is:

69875 = 5³ × 13¹ × 43¹

Step-2: Prime Factorization of 69884

Prime factors of 69884 are 2, 17471. Prime factorization of 69884 in exponential form is:

69884 = 2² × 17471¹

Step-3: Factors of 69875

List of positive integer factors of 69875 that divides 69875 without a remainder.

1, 5, 13, 25, 43, 65, 125, 215, 325, 559, 1075, 1625, 2795, 5375, 13975

Step-4: Factors of 69884

List of positive integer factors of 69884 that divides 69875 without a remainder.

1, 2, 4, 17471, 34942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69875 and 69884. The biggest common factor number is the GCF number.
So the greatest common factor 69875 and 69884 is 1.

Also check out the Least Common Multiple of 69875 and 69884