What is the Greatest Common Factor of 64739 and 64746?

Greatest common factor (GCF) of 64739 and 64746 is 1.

GCF(64739,64746) = 1

We will now calculate the prime factors of 64739 and 64746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64739 and 64746.

How to find the GCF of 64739 and 64746?

We will first find the prime factorization of 64739 and 64746. After we will calculate the factors of 64739 and 64746 and find the biggest common factor number .

Step-1: Prime Factorization of 64739

Prime factors of 64739 are 41, 1579. Prime factorization of 64739 in exponential form is:

64739 = 41¹ × 1579¹

Step-2: Prime Factorization of 64746

Prime factors of 64746 are 2, 3, 11, 109. Prime factorization of 64746 in exponential form is:

64746 = 2¹ × 3³ × 11¹ × 109¹

Step-3: Factors of 64739

List of positive integer factors of 64739 that divides 64739 without a remainder.

1, 41, 1579

Step-4: Factors of 64746

List of positive integer factors of 64746 that divides 64739 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 109, 198, 218, 297, 327, 594, 654, 981, 1199, 1962, 2398, 2943, 3597, 5886, 7194, 10791, 21582, 32373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64739 and 64746. The biggest common factor number is the GCF number.
So the greatest common factor 64739 and 64746 is 1.

Also check out the Least Common Multiple of 64739 and 64746