What is the Greatest Common Factor of 69605 and 69620?

Greatest common factor (GCF) of 69605 and 69620 is 5.

GCF(69605,69620) = 5

We will now calculate the prime factors of 69605 and 69620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69605 and 69620.

How to find the GCF of 69605 and 69620?

We will first find the prime factorization of 69605 and 69620. After we will calculate the factors of 69605 and 69620 and find the biggest common factor number .

Step-1: Prime Factorization of 69605

Prime factors of 69605 are 5, 13921. Prime factorization of 69605 in exponential form is:

69605 = 5¹ × 13921¹

Step-2: Prime Factorization of 69620

Prime factors of 69620 are 2, 5, 59. Prime factorization of 69620 in exponential form is:

69620 = 2² × 5¹ × 59²

Step-3: Factors of 69605

List of positive integer factors of 69605 that divides 69605 without a remainder.

1, 5, 13921

Step-4: Factors of 69620

List of positive integer factors of 69620 that divides 69605 without a remainder.

1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180, 3481, 6962, 13924, 17405, 34810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69605 and 69620. The biggest common factor number is the GCF number.
So the greatest common factor 69605 and 69620 is 5.

Also check out the Least Common Multiple of 69605 and 69620