What is the Greatest Common Factor of 64042 and 64046?

Greatest common factor (GCF) of 64042 and 64046 is 2.

GCF(64042,64046) = 2

We will now calculate the prime factors of 64042 and 64046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64042 and 64046.

How to find the GCF of 64042 and 64046?

We will first find the prime factorization of 64042 and 64046. After we will calculate the factors of 64042 and 64046 and find the biggest common factor number .

Step-1: Prime Factorization of 64042

Prime factors of 64042 are 2, 11, 41, 71. Prime factorization of 64042 in exponential form is:

64042 = 2¹ × 11¹ × 41¹ × 71¹

Step-2: Prime Factorization of 64046

Prime factors of 64046 are 2, 31, 1033. Prime factorization of 64046 in exponential form is:

64046 = 2¹ × 31¹ × 1033¹

Step-3: Factors of 64042

List of positive integer factors of 64042 that divides 64042 without a remainder.

1, 2, 11, 22, 41, 71, 82, 142, 451, 781, 902, 1562, 2911, 5822, 32021

Step-4: Factors of 64046

List of positive integer factors of 64046 that divides 64042 without a remainder.

1, 2, 31, 62, 1033, 2066, 32023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64042 and 64046. The biggest common factor number is the GCF number.
So the greatest common factor 64042 and 64046 is 2.

Also check out the Least Common Multiple of 64042 and 64046