What is the Greatest Common Factor of 59666 and 59672?

Greatest common factor (GCF) of 59666 and 59672 is 2.

GCF(59666,59672) = 2

We will now calculate the prime factors of 59666 and 59672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59666 and 59672.

How to find the GCF of 59666 and 59672?

We will first find the prime factorization of 59666 and 59672. After we will calculate the factors of 59666 and 59672 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 59672

Prime factors of 59672 are 2, 7459. Prime factorization of 59672 in exponential form is:

59672 = 2³ × 7459¹

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 59672

List of positive integer factors of 59672 that divides 59666 without a remainder.

1, 2, 4, 8, 7459, 14918, 29836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59666 and 59672. The biggest common factor number is the GCF number.
So the greatest common factor 59666 and 59672 is 2.

Also check out the Least Common Multiple of 59666 and 59672