What is the Greatest Common Factor of 64930 and 64942?

Greatest common factor (GCF) of 64930 and 64942 is 2.

GCF(64930,64942) = 2

We will now calculate the prime factors of 64930 and 64942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64930 and 64942.

How to find the GCF of 64930 and 64942?

We will first find the prime factorization of 64930 and 64942. After we will calculate the factors of 64930 and 64942 and find the biggest common factor number .

Step-1: Prime Factorization of 64930

Prime factors of 64930 are 2, 5, 43, 151. Prime factorization of 64930 in exponential form is:

64930 = 2¹ × 5¹ × 43¹ × 151¹

Step-2: Prime Factorization of 64942

Prime factors of 64942 are 2, 19, 1709. Prime factorization of 64942 in exponential form is:

64942 = 2¹ × 19¹ × 1709¹

Step-3: Factors of 64930

List of positive integer factors of 64930 that divides 64930 without a remainder.

1, 2, 5, 10, 43, 86, 151, 215, 302, 430, 755, 1510, 6493, 12986, 32465

Step-4: Factors of 64942

List of positive integer factors of 64942 that divides 64930 without a remainder.

1, 2, 19, 38, 1709, 3418, 32471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64930 and 64942. The biggest common factor number is the GCF number.
So the greatest common factor 64930 and 64942 is 2.

Also check out the Least Common Multiple of 64930 and 64942