What is the Greatest Common Factor of 62736 and 62746?

Greatest common factor (GCF) of 62736 and 62746 is 2.

GCF(62736,62746) = 2

We will now calculate the prime factors of 62736 and 62746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62736 and 62746.

How to find the GCF of 62736 and 62746?

We will first find the prime factorization of 62736 and 62746. After we will calculate the factors of 62736 and 62746 and find the biggest common factor number .

Step-1: Prime Factorization of 62736

Prime factors of 62736 are 2, 3, 1307. Prime factorization of 62736 in exponential form is:

62736 = 2⁴ × 3¹ × 1307¹

Step-2: Prime Factorization of 62746

Prime factors of 62746 are 2, 137, 229. Prime factorization of 62746 in exponential form is:

62746 = 2¹ × 137¹ × 229¹

Step-3: Factors of 62736

List of positive integer factors of 62736 that divides 62736 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1307, 2614, 3921, 5228, 7842, 10456, 15684, 20912, 31368

Step-4: Factors of 62746

List of positive integer factors of 62746 that divides 62736 without a remainder.

1, 2, 137, 229, 274, 458, 31373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62736 and 62746. The biggest common factor number is the GCF number.
So the greatest common factor 62736 and 62746 is 2.

Also check out the Least Common Multiple of 62736 and 62746