What is the Greatest Common Factor of 42746 and 42764?

Greatest common factor (GCF) of 42746 and 42764 is 2.

GCF(42746,42764) = 2

We will now calculate the prime factors of 42746 and 42764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42746 and 42764.

How to find the GCF of 42746 and 42764?

We will first find the prime factorization of 42746 and 42764. After we will calculate the factors of 42746 and 42764 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42764

Prime factors of 42764 are 2, 10691. Prime factorization of 42764 in exponential form is:

42764 = 2² × 10691¹

Step-3: Factors of 42746

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

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

Step-4: Factors of 42764

List of positive integer factors of 42764 that divides 42746 without a remainder.

1, 2, 4, 10691, 21382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42746 and 42764. The biggest common factor number is the GCF number.
So the greatest common factor 42746 and 42764 is 2.

Also check out the Least Common Multiple of 42746 and 42764