What is the Greatest Common Factor of 69569 and 69580?

Greatest common factor (GCF) of 69569 and 69580 is 1.

GCF(69569,69580) = 1

We will now calculate the prime factors of 69569 and 69580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69569 and 69580.

How to find the GCF of 69569 and 69580?

We will first find the prime factorization of 69569 and 69580. After we will calculate the factors of 69569 and 69580 and find the biggest common factor number .

Step-1: Prime Factorization of 69569

Prime factors of 69569 are 73, 953. Prime factorization of 69569 in exponential form is:

69569 = 73¹ × 953¹

Step-2: 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-3: Factors of 69569

List of positive integer factors of 69569 that divides 69569 without a remainder.

1, 73, 953

Step-4: Factors of 69580

List of positive integer factors of 69580 that divides 69569 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69569 and 69580. The biggest common factor number is the GCF number.
So the greatest common factor 69569 and 69580 is 1.

Also check out the Least Common Multiple of 69569 and 69580