What is the Greatest Common Factor of 49707 and 49712?

Greatest common factor (GCF) of 49707 and 49712 is 1.

GCF(49707,49712) = 1

We will now calculate the prime factors of 49707 and 49712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49707 and 49712.

How to find the GCF of 49707 and 49712?

We will first find the prime factorization of 49707 and 49712. After we will calculate the factors of 49707 and 49712 and find the biggest common factor number .

Step-1: Prime Factorization of 49707

Prime factors of 49707 are 3, 7, 263. Prime factorization of 49707 in exponential form is:

49707 = 3³ × 7¹ × 263¹

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 49707

List of positive integer factors of 49707 that divides 49707 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 263, 789, 1841, 2367, 5523, 7101, 16569

Step-4: Factors of 49712

List of positive integer factors of 49712 that divides 49707 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 49707 and 49712. The biggest common factor number is the GCF number.
So the greatest common factor 49707 and 49712 is 1.

Also check out the Least Common Multiple of 49707 and 49712