What is the Greatest Common Factor of 59666 and 59677?

Greatest common factor (GCF) of 59666 and 59677 is 1.

GCF(59666,59677) = 1

We will now calculate the prime factors of 59666 and 59677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59666 and 59677.

How to find the GCF of 59666 and 59677?

We will first find the prime factorization of 59666 and 59677. After we will calculate the factors of 59666 and 59677 and find the biggest common factor number .

Step-1: Prime Factorization of 59666

Prime factors of 59666 are 2, 29833. Prime factorization of 59666 in exponential form is:

59666 = 2¹ × 29833¹

Step-2: Prime Factorization of 59677

Prime factors of 59677 are 83, 719. Prime factorization of 59677 in exponential form is:

59677 = 83¹ × 719¹

Step-3: Factors of 59666

List of positive integer factors of 59666 that divides 59666 without a remainder.

1, 2, 29833

Step-4: Factors of 59677

List of positive integer factors of 59677 that divides 59666 without a remainder.

1, 83, 719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59666 and 59677. The biggest common factor number is the GCF number.
So the greatest common factor 59666 and 59677 is 1.

Also check out the Least Common Multiple of 59666 and 59677