What is the Greatest Common Factor of 69574 and 69580?

Greatest common factor (GCF) of 69574 and 69580 is 2.

GCF(69574,69580) = 2

We will now calculate the prime factors of 69574 and 69580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69574 and 69580.

How to find the GCF of 69574 and 69580?

We will first find the prime factorization of 69574 and 69580. After we will calculate the factors of 69574 and 69580 and find the biggest common factor number .

Step-1: Prime Factorization of 69574

Prime factors of 69574 are 2, 43, 809. Prime factorization of 69574 in exponential form is:

69574 = 2¹ × 43¹ × 809¹

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 69574

List of positive integer factors of 69574 that divides 69574 without a remainder.

1, 2, 43, 86, 809, 1618, 34787

Step-4: Factors of 69580

List of positive integer factors of 69580 that divides 69574 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 69574 and 69580. The biggest common factor number is the GCF number.
So the greatest common factor 69574 and 69580 is 2.

Also check out the Least Common Multiple of 69574 and 69580