What is the Greatest Common Factor of 59609 and 59620?

Greatest common factor (GCF) of 59609 and 59620 is 11.

GCF(59609,59620) = 11

We will now calculate the prime factors of 59609 and 59620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59609 and 59620.

How to find the GCF of 59609 and 59620?

We will first find the prime factorization of 59609 and 59620. After we will calculate the factors of 59609 and 59620 and find the biggest common factor number .

Step-1: Prime Factorization of 59609

Prime factors of 59609 are 11, 5419. Prime factorization of 59609 in exponential form is:

59609 = 11¹ × 5419¹

Step-2: Prime Factorization of 59620

Prime factors of 59620 are 2, 5, 11, 271. Prime factorization of 59620 in exponential form is:

59620 = 2² × 5¹ × 11¹ × 271¹

Step-3: Factors of 59609

List of positive integer factors of 59609 that divides 59609 without a remainder.

1, 11, 5419

Step-4: Factors of 59620

List of positive integer factors of 59620 that divides 59609 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 271, 542, 1084, 1355, 2710, 2981, 5420, 5962, 11924, 14905, 29810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59609 and 59620. The biggest common factor number is the GCF number.
So the greatest common factor 59609 and 59620 is 11.

Also check out the Least Common Multiple of 59609 and 59620