What is the Greatest Common Factor of 42727 and 42746?

Greatest common factor (GCF) of 42727 and 42746 is 1.

GCF(42727,42746) = 1

We will now calculate the prime factors of 42727 and 42746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42727 and 42746.

How to find the GCF of 42727 and 42746?

We will first find the prime factorization of 42727 and 42746. After we will calculate the factors of 42727 and 42746 and find the biggest common factor number .

Step-1: Prime Factorization of 42727

Prime factors of 42727 are 42727. Prime factorization of 42727 in exponential form is:

42727 = 42727¹

Step-2: Prime Factorization of 42746

Prime factors of 42746 are 2, 11, 29, 67. Prime factorization of 42746 in exponential form is:

42746 = 2¹ × 11¹ × 29¹ × 67¹

Step-3: Factors of 42727

List of positive integer factors of 42727 that divides 42727 without a remainder.

Step-4: Factors of 42746

List of positive integer factors of 42746 that divides 42727 without a remainder.

1, 2, 11, 22, 29, 58, 67, 134, 319, 638, 737, 1474, 1943, 3886, 21373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42727 and 42746. The biggest common factor number is the GCF number.
So the greatest common factor 42727 and 42746 is 1.

Also check out the Least Common Multiple of 42727 and 42746