What is the Greatest Common Factor of 49699 and 49712?

Greatest common factor (GCF) of 49699 and 49712 is 13.

GCF(49699,49712) = 13

We will now calculate the prime factors of 49699 and 49712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49699 and 49712.

How to find the GCF of 49699 and 49712?

We will first find the prime factorization of 49699 and 49712. After we will calculate the factors of 49699 and 49712 and find the biggest common factor number .

Step-1: Prime Factorization of 49699

Prime factors of 49699 are 13, 3823. Prime factorization of 49699 in exponential form is:

49699 = 13¹ × 3823¹

Step-2: 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-3: Factors of 49699

List of positive integer factors of 49699 that divides 49699 without a remainder.

1, 13, 3823

Step-4: Factors of 49712

List of positive integer factors of 49712 that divides 49699 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49699 and 49712. The biggest common factor number is the GCF number.
So the greatest common factor 49699 and 49712 is 13.

Also check out the Least Common Multiple of 49699 and 49712