What is the Greatest Common Factor of 69580 and 69595?

Greatest common factor (GCF) of 69580 and 69595 is 5.

GCF(69580,69595) = 5

We will now calculate the prime factors of 69580 and 69595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69580 and 69595.

How to find the GCF of 69580 and 69595?

We will first find the prime factorization of 69580 and 69595. After we will calculate the factors of 69580 and 69595 and find the biggest common factor number .

Step-1: Prime Factorization of 69580

Prime factors of 69580 are 2, 5, 7, 71. Prime factorization of 69580 in exponential form is:

69580 = 2² × 5¹ × 7² × 71¹

Step-2: Prime Factorization of 69595

Prime factors of 69595 are 5, 31, 449. Prime factorization of 69595 in exponential form is:

69595 = 5¹ × 31¹ × 449¹

Step-3: Factors of 69580

List of positive integer factors of 69580 that divides 69580 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 71, 98, 140, 142, 196, 245, 284, 355, 490, 497, 710, 980, 994, 1420, 1988, 2485, 3479, 4970, 6958, 9940, 13916, 17395, 34790

Step-4: Factors of 69595

List of positive integer factors of 69595 that divides 69580 without a remainder.

1, 5, 31, 155, 449, 2245, 13919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69580 and 69595. The biggest common factor number is the GCF number.
So the greatest common factor 69580 and 69595 is 5.

Also check out the Least Common Multiple of 69580 and 69595