What is the Greatest Common Factor of 61593 and 61607?

Greatest common factor (GCF) of 61593 and 61607 is 7.

GCF(61593,61607) = 7

We will now calculate the prime factors of 61593 and 61607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61593 and 61607.

How to find the GCF of 61593 and 61607?

We will first find the prime factorization of 61593 and 61607. After we will calculate the factors of 61593 and 61607 and find the biggest common factor number .

Step-1: Prime Factorization of 61593

Prime factors of 61593 are 3, 7, 419. Prime factorization of 61593 in exponential form is:

61593 = 3¹ × 7² × 419¹

Step-2: Prime Factorization of 61607

Prime factors of 61607 are 7, 13, 677. Prime factorization of 61607 in exponential form is:

61607 = 7¹ × 13¹ × 677¹

Step-3: Factors of 61593

List of positive integer factors of 61593 that divides 61593 without a remainder.

1, 3, 7, 21, 49, 147, 419, 1257, 2933, 8799, 20531

Step-4: Factors of 61607

List of positive integer factors of 61607 that divides 61593 without a remainder.

1, 7, 13, 91, 677, 4739, 8801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61593 and 61607. The biggest common factor number is the GCF number.
So the greatest common factor 61593 and 61607 is 7.

Also check out the Least Common Multiple of 61593 and 61607