What is the Greatest Common Factor of 69572 and 69580?

Greatest common factor (GCF) of 69572 and 69580 is 4.

GCF(69572,69580) = 4

We will now calculate the prime factors of 69572 and 69580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69572 and 69580.

How to find the GCF of 69572 and 69580?

We will first find the prime factorization of 69572 and 69580. After we will calculate the factors of 69572 and 69580 and find the biggest common factor number .

Step-1: Prime Factorization of 69572

Prime factors of 69572 are 2, 17393. Prime factorization of 69572 in exponential form is:

69572 = 2² × 17393¹

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 69572

List of positive integer factors of 69572 that divides 69572 without a remainder.

1, 2, 4, 17393, 34786

Step-4: Factors of 69580

List of positive integer factors of 69580 that divides 69572 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 69572 and 69580. The biggest common factor number is the GCF number.
So the greatest common factor 69572 and 69580 is 4.

Also check out the Least Common Multiple of 69572 and 69580