What is the Greatest Common Factor of 69250 and 69265?

Greatest common factor (GCF) of 69250 and 69265 is 5.

GCF(69250,69265) = 5

We will now calculate the prime factors of 69250 and 69265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69250 and 69265.

How to find the GCF of 69250 and 69265?

We will first find the prime factorization of 69250 and 69265. After we will calculate the factors of 69250 and 69265 and find the biggest common factor number .

Step-1: Prime Factorization of 69250

Prime factors of 69250 are 2, 5, 277. Prime factorization of 69250 in exponential form is:

69250 = 2¹ × 5³ × 277¹

Step-2: Prime Factorization of 69265

Prime factors of 69265 are 5, 7, 1979. Prime factorization of 69265 in exponential form is:

69265 = 5¹ × 7¹ × 1979¹

Step-3: Factors of 69250

List of positive integer factors of 69250 that divides 69250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 277, 554, 1385, 2770, 6925, 13850, 34625

Step-4: Factors of 69265

List of positive integer factors of 69265 that divides 69250 without a remainder.

1, 5, 7, 35, 1979, 9895, 13853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69250 and 69265. The biggest common factor number is the GCF number.
So the greatest common factor 69250 and 69265 is 5.

Also check out the Least Common Multiple of 69250 and 69265