What is the Greatest Common Factor of 49712 and 49723?

Greatest common factor (GCF) of 49712 and 49723 is 1.

GCF(49712,49723) = 1

We will now calculate the prime factors of 49712 and 49723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49712 and 49723.

How to find the GCF of 49712 and 49723?

We will first find the prime factorization of 49712 and 49723. After we will calculate the factors of 49712 and 49723 and find the biggest common factor number .

Step-1: Prime Factorization of 49712

Prime factors of 49712 are 2, 13, 239. Prime factorization of 49712 in exponential form is:

49712 = 2⁴ × 13¹ × 239¹

Step-2: Prime Factorization of 49723

Prime factors of 49723 are 19, 2617. Prime factorization of 49723 in exponential form is:

49723 = 19¹ × 2617¹

Step-3: Factors of 49712

List of positive integer factors of 49712 that divides 49712 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 239, 478, 956, 1912, 3107, 3824, 6214, 12428, 24856

Step-4: Factors of 49723

List of positive integer factors of 49723 that divides 49712 without a remainder.

1, 19, 2617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49712 and 49723. The biggest common factor number is the GCF number.
So the greatest common factor 49712 and 49723 is 1.

Also check out the Least Common Multiple of 49712 and 49723